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cos(x)*cos(sin(x))

  • How to use it?

  • Graphing y =:
  • x^2+3x+3
  • x^2/1-x
  • (x^2+3)/(x-1) (x^2+3)/(x-1)
  • 3x-x^2

  • Identical expressions

  • cos(x)*cos(sin(x))
  • co sinus of e of (x) multiply by co sinus of e of ( sinus of (x))
  • cos(x)cos(sin(x))
  • cosxcossinx

  • Similar expressions

  • cosx*cos(sinx)
Plotting a function graph/ cos(x)*cos(sin(x))

Graphing y = cos(x)*cos(sin(x))

v

The graph:

from to

Intersection points:

does show?

Piecewise:

The solution

You have entered [src] 
f(x) = cos(x)*cos(sin(x))
f(x)=cos⁡(x)cos⁡(sin⁡(x))f{\left(x \right)} = \cos{\left(x \right)} \cos{\left(\sin{\left(x \right)} \right)} 
f = cos(x)*cos(sin(x))
The graph of the function
0-30-20-101020304050607080902-2
The points of intersection with the X-axis coordinate
Graph of the function intersects the axis X at f = 0
so we need to solve the equation:
cos⁡(x)cos⁡(sin⁡(x))=0\cos{\left(x \right)} \cos{\left(\sin{\left(x \right)} \right)} = 0
Solve this equation
The points of intersection with the axis X:

Analytical solution
x1=π2x_{1} = \frac{\pi}{2}
x2=3π2x_{2} = \frac{3 \pi}{2}
Numerical solution
x1=54.9778714378214x_{1} = 54.9778714378214
x2=95.8185759344887x_{2} = 95.8185759344887
x3=−39.2699081698724x_{3} = -39.2699081698724
x4=−29.845130209103x_{4} = -29.845130209103
x5=−54.9778714378214x_{5} = -54.9778714378214
x6=−73.8274273593601x_{6} = -73.8274273593601
x7=−7.85398163397448x_{7} = -7.85398163397448
x8=−5244.88893516816x_{8} = -5244.88893516816
x9=80.1106126665397x_{9} = 80.1106126665397
x10=92.6769832808989x_{10} = 92.6769832808989
x11=86.3937979737193x_{11} = 86.3937979737193
x12=−76.9690200129499x_{12} = -76.9690200129499
x13=−45.553093477052x_{13} = -45.553093477052
x14=61.261056745001x_{14} = 61.261056745001
x15=−48.6946861306418x_{15} = -48.6946861306418
x16=32.9867228626928x_{16} = 32.9867228626928
x17=20.4203522483337x_{17} = 20.4203522483337
x18=−17.2787595947439x_{18} = -17.2787595947439
x19=23.5619449019235x_{19} = 23.5619449019235
x20=−86.3937979737193x_{20} = -86.3937979737193
x21=−23.5619449019235x_{21} = -23.5619449019235
x22=−67.5442420521806x_{22} = -67.5442420521806
x23=−89.5353906273091x_{23} = -89.5353906273091
x24=−32.9867228626928x_{24} = -32.9867228626928
x25=64.4026493985908x_{25} = 64.4026493985908
x26=4.71238898038469x_{26} = 4.71238898038469
x27=−10.9955742875643x_{27} = -10.9955742875643
x28=−20.4203522483337x_{28} = -20.4203522483337
x29=−80.1106126665397x_{29} = -80.1106126665397
x30=−64.4026493985908x_{30} = -64.4026493985908
x31=−14.1371669411541x_{31} = -14.1371669411541
x32=−26.7035375555132x_{32} = -26.7035375555132
x33=10.9955742875643x_{33} = 10.9955742875643
x34=58.1194640914112x_{34} = 58.1194640914112
x35=−83.2522053201295x_{35} = -83.2522053201295
x36=26.7035375555132x_{36} = 26.7035375555132
x37=−70.6858347057703x_{37} = -70.6858347057703
x38=48.6946861306418x_{38} = 48.6946861306418
x39=−42.4115008234622x_{39} = -42.4115008234622
x40=70.6858347057703x_{40} = 70.6858347057703
x41=−92.6769832808989x_{41} = -92.6769832808989
x42=7.85398163397448x_{42} = 7.85398163397448
x43=−51.8362787842316x_{43} = -51.8362787842316
x44=98.9601685880785x_{44} = 98.9601685880785
x45=42.4115008234622x_{45} = 42.4115008234622
x46=51.8362787842316x_{46} = 51.8362787842316
x47=−58.1194640914112x_{47} = -58.1194640914112
x48=−61.261056745001x_{48} = -61.261056745001
x49=39.2699081698724x_{49} = 39.2699081698724
x50=45.553093477052x_{50} = 45.553093477052
x51=29.845130209103x_{51} = 29.845130209103
x52=−4.71238898038469x_{52} = -4.71238898038469
x53=17.2787595947439x_{53} = 17.2787595947439
x54=89.5353906273091x_{54} = 89.5353906273091
x55=1.5707963267949x_{55} = 1.5707963267949
x56=83.2522053201295x_{56} = 83.2522053201295
x57=−36.1283155162826x_{57} = -36.1283155162826
x58=−95.8185759344887x_{58} = -95.8185759344887
x59=36.1283155162826x_{59} = 36.1283155162826
x60=67.5442420521806x_{60} = 67.5442420521806
x61=73.8274273593601x_{61} = 73.8274273593601
x62=76.9690200129499x_{62} = 76.9690200129499
x63=−1.5707963267949x_{63} = -1.5707963267949
x64=−98.9601685880785x_{64} = -98.9601685880785
x65=14.1371669411541x_{65} = 14.1371669411541
The points of intersection with the Y axis coordinate
The graph crosses Y axis when x equals 0:
substitute x = 0 to cos(x)*cos(sin(x)).
cos⁡(0)cos⁡(sin⁡(0))\cos{\left(0 \right)} \cos{\left(\sin{\left(0 \right)} \right)}
The result:
f(0)=1f{\left(0 \right)} = 1
The point:
(0, 1)
Extrema of the function
In order to find the extrema, we need to solve the equation
ddxf(x)=0\frac{d}{d x} f{\left(x \right)} = 0
(the derivative equals zero),
and the roots of this equation are the extrema of this function:
ddxf(x)=\frac{d}{d x} f{\left(x \right)} =
the first derivative
−sin⁡(x)cos⁡(sin⁡(x))−sin⁡(sin⁡(x))cos⁡2(x)=0- \sin{\left(x \right)} \cos{\left(\sin{\left(x \right)} \right)} - \sin{\left(\sin{\left(x \right)} \right)} \cos^{2}{\left(x \right)} = 0
Solve this equation
The roots of this equation
x1=−25.1327412287183x_{1} = -25.1327412287183
x2=−50.2654824574367x_{2} = -50.2654824574367
x3=87.9645943005142x_{3} = 87.9645943005142
x4=−59.6902604182061x_{4} = -59.6902604182061
x5=97.3893722612836x_{5} = 97.3893722612836
x6=−81.6814089933346x_{6} = -81.6814089933346
x7=−21.9911485751286x_{7} = -21.9911485751286
x8=62.8318530717959x_{8} = 62.8318530717959
x9=−69.1150383789755x_{9} = -69.1150383789755
x10=81.6814089933346x_{10} = 81.6814089933346
x11=37.6991118430775x_{11} = 37.6991118430775
x12=−78.5398163397448x_{12} = -78.5398163397448
x13=−62.8318530717959x_{13} = -62.8318530717959
x14=−65.9734457253857x_{14} = -65.9734457253857
x15=−87.9645943005142x_{15} = -87.9645943005142
x16=−53.4070751110265x_{16} = -53.4070751110265
x17=21.9911485751286x_{17} = 21.9911485751286
x18=−47.1238898038469x_{18} = -47.1238898038469
x19=6.28318530717959x_{19} = 6.28318530717959
x20=−75.398223686155x_{20} = -75.398223686155
x21=−72.2566310325652x_{21} = -72.2566310325652
x22=56.5486677646163x_{22} = 56.5486677646163
x23=153.9380400259x_{23} = 153.9380400259
x24=65.9734457253857x_{24} = 65.9734457253857
x25=100.530964914873x_{25} = 100.530964914873
x26=−28.2743338823081x_{26} = -28.2743338823081
x27=43.9822971502571x_{27} = 43.9822971502571
x28=−2199.11485751286x_{28} = -2199.11485751286
x29=−6.28318530717959x_{29} = -6.28318530717959
x30=−3.14159265358979x_{30} = -3.14159265358979
x31=28.2743338823081x_{31} = 28.2743338823081
x32=−37.6991118430775x_{32} = -37.6991118430775
x33=2899.69001926338x_{33} = 2899.69001926338
x34=−84.8230016469244x_{34} = -84.8230016469244
x35=84.8230016469244x_{35} = 84.8230016469244
x36=−34.5575191894877x_{36} = -34.5575191894877
x37=−91.106186954104x_{37} = -91.106186954104
x38=15.707963267949x_{38} = 15.707963267949
x39=94.2477796076938x_{39} = 94.2477796076938
x40=2582.38916125081x_{40} = 2582.38916125081
x41=34.5575191894877x_{41} = 34.5575191894877
x42=−15.707963267949x_{42} = -15.707963267949
x43=59.6902604182061x_{43} = 59.6902604182061
x44=−94.2477796076938x_{44} = -94.2477796076938
x45=−43.9822971502571x_{45} = -43.9822971502571
x46=−9.42477796076938x_{46} = -9.42477796076938
x47=3.14159265358979x_{47} = 3.14159265358979
x48=40.8407044966673x_{48} = 40.8407044966673
x49=78.5398163397448x_{49} = 78.5398163397448
x50=72.2566310325652x_{50} = 72.2566310325652
x51=0x_{51} = 0
x52=50.2654824574367x_{52} = 50.2654824574367
x53=−97.3893722612836x_{53} = -97.3893722612836
x54=12.5663706143592x_{54} = 12.5663706143592
x55=−31.4159265358979x_{55} = -31.4159265358979
x56=18.8495559215388x_{56} = 18.8495559215388
The values of the extrema at the points:
(-25.1327412287183, 1)

(-50.2654824574367, 1)

(87.9645943005142, 1)

(-59.6902604182061, -1)

(97.3893722612836, -1)

(-81.6814089933346, 1)

(-21.9911485751286, -1)

(62.8318530717959, 1)

(-69.1150383789755, 1)

(81.6814089933346, 1)

(37.6991118430775, 1)

(-78.5398163397448, -1)

(-62.8318530717959, 1)

(-65.9734457253857, -1)

(-87.9645943005142, 1)

(-53.4070751110265, -1)

(21.9911485751286, -1)

(-47.1238898038469, -1)

(6.28318530717959, 1)

(-75.398223686155, 1)

(-72.2566310325652, -1)

(56.5486677646163, 1)

(153.9380400259, -1)

(65.9734457253857, -1)

(100.530964914873, 1)

(-28.2743338823081, -1)

(43.9822971502571, 1)

(-2199.11485751286, 1)

(-6.28318530717959, 1)

(-3.14159265358979, -1)

(28.2743338823081, -1)

(-37.6991118430775, 1)

(2899.69001926338, -1)

(-84.8230016469244, -1)

(84.8230016469244, -1)

(-34.5575191894877, -1)

(-91.106186954104, -1)

(15.707963267949, -1)

(94.2477796076938, 1)

(2582.38916125081, 1)

(34.5575191894877, -1)

(-15.707963267949, -1)

(59.6902604182061, -1)

(-94.2477796076938, 1)

(-43.9822971502571, 1)

(-9.42477796076938, -1)

(3.14159265358979, -1)

(40.8407044966673, -1)

(78.5398163397448, -1)

(72.2566310325652, -1)

(0, 1)

(50.2654824574367, 1)

(-97.3893722612836, -1)

(12.5663706143592, 1)

(-31.4159265358979, 1)

(18.8495559215388, 1)


Intervals of increase and decrease of the function:
Let's find intervals where the function increases and decreases, as well as minima and maxima of the function, for this let's look how the function behaves itself in the extremas and at the slightest deviation from:
Minima of the function at points:
x1=−59.6902604182061x_{1} = -59.6902604182061
x2=97.3893722612836x_{2} = 97.3893722612836
x3=−21.9911485751286x_{3} = -21.9911485751286
x4=−78.5398163397448x_{4} = -78.5398163397448
x5=−65.9734457253857x_{5} = -65.9734457253857
x6=−53.4070751110265x_{6} = -53.4070751110265
x7=21.9911485751286x_{7} = 21.9911485751286
x8=−47.1238898038469x_{8} = -47.1238898038469
x9=−72.2566310325652x_{9} = -72.2566310325652
x10=153.9380400259x_{10} = 153.9380400259
x11=65.9734457253857x_{11} = 65.9734457253857
x12=−28.2743338823081x_{12} = -28.2743338823081
x13=−3.14159265358979x_{13} = -3.14159265358979
x14=28.2743338823081x_{14} = 28.2743338823081
x15=2899.69001926338x_{15} = 2899.69001926338
x16=−84.8230016469244x_{16} = -84.8230016469244
x17=84.8230016469244x_{17} = 84.8230016469244
x18=−34.5575191894877x_{18} = -34.5575191894877
x19=−91.106186954104x_{19} = -91.106186954104
x20=15.707963267949x_{20} = 15.707963267949
x21=34.5575191894877x_{21} = 34.5575191894877
x22=−15.707963267949x_{22} = -15.707963267949
x23=59.6902604182061x_{23} = 59.6902604182061
x24=−9.42477796076938x_{24} = -9.42477796076938
x25=3.14159265358979x_{25} = 3.14159265358979
x26=40.8407044966673x_{26} = 40.8407044966673
x27=78.5398163397448x_{27} = 78.5398163397448
x28=72.2566310325652x_{28} = 72.2566310325652
x29=−97.3893722612836x_{29} = -97.3893722612836
Maxima of the function at points:
x29=−25.1327412287183x_{29} = -25.1327412287183
x29=−50.2654824574367x_{29} = -50.2654824574367
x29=87.9645943005142x_{29} = 87.9645943005142
x29=−81.6814089933346x_{29} = -81.6814089933346
x29=62.8318530717959x_{29} = 62.8318530717959
x29=−69.1150383789755x_{29} = -69.1150383789755
x29=81.6814089933346x_{29} = 81.6814089933346
x29=37.6991118430775x_{29} = 37.6991118430775
x29=−62.8318530717959x_{29} = -62.8318530717959
x29=−87.9645943005142x_{29} = -87.9645943005142
x29=6.28318530717959x_{29} = 6.28318530717959
x29=−75.398223686155x_{29} = -75.398223686155
x29=56.5486677646163x_{29} = 56.5486677646163
x29=100.530964914873x_{29} = 100.530964914873
x29=43.9822971502571x_{29} = 43.9822971502571
x29=−2199.11485751286x_{29} = -2199.11485751286
x29=−6.28318530717959x_{29} = -6.28318530717959
x29=−37.6991118430775x_{29} = -37.6991118430775
x29=94.2477796076938x_{29} = 94.2477796076938
x29=2582.38916125081x_{29} = 2582.38916125081
x29=−94.2477796076938x_{29} = -94.2477796076938
x29=−43.9822971502571x_{29} = -43.9822971502571
x29=0x_{29} = 0
x29=50.2654824574367x_{29} = 50.2654824574367
x29=12.5663706143592x_{29} = 12.5663706143592
x29=−31.4159265358979x_{29} = -31.4159265358979
x29=18.8495559215388x_{29} = 18.8495559215388
Decreasing at intervals
[2899.69001926338,∞)\left[2899.69001926338, \infty\right)
Increasing at intervals
(−∞,−97.3893722612836]\left(-\infty, -97.3893722612836\right]
Inflection points
Let's find the inflection points, we'll need to solve the equation for this
d2dx2f(x)=0\frac{d^{2}}{d x^{2}} f{\left(x \right)} = 0
(the second derivative equals zero),
the roots of this equation will be the inflection points for the specified function graph:
d2dx2f(x)=\frac{d^{2}}{d x^{2}} f{\left(x \right)} =
the second derivative
(3sin⁡(x)sin⁡(sin⁡(x))−cos⁡2(x)cos⁡(sin⁡(x))−cos⁡(sin⁡(x)))cos⁡(x)=0\left(3 \sin{\left(x \right)} \sin{\left(\sin{\left(x \right)} \right)} - \cos^{2}{\left(x \right)} \cos{\left(\sin{\left(x \right)} \right)} - \cos{\left(\sin{\left(x \right)} \right)}\right) \cos{\left(x \right)} = 0
Solve this equation
The roots of this equation
x1=55.8224546923692x_{1} = 55.8224546923692
x2=−29.845130209103x_{2} = -29.845130209103
x3=40.1144914244202x_{3} = 40.1144914244202
x4=86.3937979737193x_{4} = 86.3937979737193
x5=84.0967885746773x_{5} = 84.0967885746773
x6=−67.5442420521806x_{6} = -67.5442420521806
x7=−14.1371669411541x_{7} = -14.1371669411541
x8=−20.4203522483337x_{8} = -20.4203522483337
x9=−25.8589543009654x_{9} = -25.8589543009654
x10=−84.0967885746773x_{10} = -84.0967885746773
x11=16.434176340196x_{11} = 16.434176340196
x12=60.4164734904531x_{12} = 60.4164734904531
x13=−42.4115008234622x_{13} = -42.4115008234622
x14=26.7035375555132x_{14} = 26.7035375555132
x15=24.4065281564713x_{15} = 24.4065281564713
x16=32.142139608145x_{16} = 32.142139608145
x17=99.8047518426263x_{17} = 99.8047518426263
x18=91.8324000263511x_{18} = 91.8324000263511
x19=−10.1509910330164x_{19} = -10.1509910330164
x20=36.1283155162826x_{20} = 36.1283155162826
x21=−1.5707963267949x_{21} = -1.5707963267949
x22=−49.5392693851896x_{22} = -49.5392693851896
x23=−45.553093477052x_{23} = -45.553093477052
x24=20.4203522483337x_{24} = 20.4203522483337
x25=−85.5492147191715x_{25} = -85.5492147191715
x26=18.1233428492917x_{26} = 18.1233428492917
x27=−89.5353906273091x_{27} = -89.5353906273091
x28=−60.4164734904531x_{28} = -60.4164734904531
x29=47.850102876094x_{29} = 47.850102876094
x30=90.3799738818569x_{30} = 90.3799738818569
x31=−69.8412514512225x_{31} = -69.8412514512225
x32=−55.8224546923692x_{32} = -55.8224546923692
x33=48.6946861306418x_{33} = 48.6946861306418
x34=88.6908073727613x_{34} = 88.6908073727613
x35=46.3976767315998x_{35} = 46.3976767315998
x36=−40.1144914244202x_{36} = -40.1144914244202
x37=50.9916955296838x_{37} = 50.9916955296838
x38=−5.55697223493252x_{38} = -5.55697223493252
x39=−51.8362787842316x_{39} = -51.8362787842316
x40=−36.1283155162826x_{40} = -36.1283155162826
x41=−95.8185759344887x_{41} = -95.8185759344887
x42=−18.1233428492917x_{42} = -18.1233428492917
x43=−82.4076220655817x_{43} = -82.4076220655817
x44=14.1371669411541x_{44} = 14.1371669411541
x45=98.1155853335307x_{45} = 98.1155853335307
x46=−99.8047518426263x_{46} = -99.8047518426263
x47=95.8185759344887x_{47} = 95.8185759344887
x48=−7.85398163397448x_{48} = -7.85398163397448
x49=68.3888253067284x_{49} = 68.3888253067284
x50=33.8313061172407x_{50} = 33.8313061172407
x51=23.5619449019235x_{51} = 23.5619449019235
x52=−77.8136032674978x_{52} = -77.8136032674978
x53=62.1056399995488x_{53} = 62.1056399995488
x54=64.4026493985908x_{54} = 64.4026493985908
x55=−16.434176340196x_{55} = -16.434176340196
x56=−32.142139608145x_{56} = -32.142139608145
x57=10.1509910330164x_{57} = 10.1509910330164
x58=58.1194640914112x_{58} = 58.1194640914112
x59=70.6858347057703x_{59} = 70.6858347057703
x60=−11.8401575421121x_{60} = -11.8401575421121
x61=−91.8324000263511x_{61} = -91.8324000263511
x62=82.4076220655817x_{62} = 82.4076220655817
x63=42.4115008234622x_{63} = 42.4115008234622
x64=−62.1056399995488x_{64} = -62.1056399995488
x65=29.845130209103x_{65} = 29.845130209103
x66=3.86780572583686x_{66} = 3.86780572583686
x67=25.8589543009654x_{67} = 25.8589543009654
x68=−54.1332881832735x_{68} = -54.1332881832735
x69=11.8401575421121x_{69} = 11.8401575421121
x70=−27.5481208100611x_{70} = -27.5481208100611
x71=69.8412514512225x_{71} = 69.8412514512225
x72=1.5707963267949x_{72} = 1.5707963267949
x73=5.55697223493252x_{73} = 5.55697223493252
x74=−33.8313061172407x_{74} = -33.8313061172407
x75=−98.1155853335307x_{75} = -98.1155853335307
x76=−73.8274273593601x_{76} = -73.8274273593601
x77=92.6769832808989x_{77} = 92.6769832808989
x78=80.1106126665397x_{78} = 80.1106126665397
x79=−76.1244367584021x_{79} = -76.1244367584021
x80=−23.5619449019235x_{80} = -23.5619449019235
x81=38.4253249153246x_{81} = 38.4253249153246
x82=−47.850102876094x_{82} = -47.850102876094
x83=2.41537958134273x_{83} = 2.41537958134273
x84=−19.5757689937858x_{84} = -19.5757689937858
x85=77.8136032674978x_{85} = 77.8136032674978
x86=−64.4026493985908x_{86} = -64.4026493985908
x87=−80.1106126665397x_{87} = -80.1106126665397
x88=−38.4253249153246x_{88} = -38.4253249153246
x89=54.1332881832735x_{89} = 54.1332881832735
x90=−71.5304179603182x_{90} = -71.5304179603182
x91=7.85398163397448x_{91} = 7.85398163397448
x92=−63.5580661440429x_{92} = -63.5580661440429
x93=76.1244367584021x_{93} = 76.1244367584021
x94=51.8362787842316x_{94} = 51.8362787842316
x95=−58.1194640914112x_{95} = -58.1194640914112
x96=−93.5215665354467x_{96} = -93.5215665354467
x97=−41.5669175689144x_{97} = -41.5669175689144
x98=73.8274273593601x_{98} = 73.8274273593601
x99=−3.86780572583686x_{99} = -3.86780572583686

Сonvexity and concavity intervals:
Let’s find the intervals where the function is convex or concave, for this look at the behaviour of the function at the inflection points:
Concave at the intervals
[92.6769832808989,∞)\left[92.6769832808989, \infty\right)
Convex at the intervals
(−∞,−99.8047518426263]\left(-\infty, -99.8047518426263\right]
Horizontal asymptotes
Let’s find horizontal asymptotes with help of the limits of this function at x->+oo and x->-oo
lim⁡x→−∞(cos⁡(x)cos⁡(sin⁡(x)))=⟨−1,1⟩\lim_{x \to -\infty}\left(\cos{\left(x \right)} \cos{\left(\sin{\left(x \right)} \right)}\right) = \left\langle -1, 1\right\rangle
Let's take the limit
so,
equation of the horizontal asymptote on the left:
y=⟨−1,1⟩y = \left\langle -1, 1\right\rangle
lim⁡x→∞(cos⁡(x)cos⁡(sin⁡(x)))=⟨−1,1⟩\lim_{x \to \infty}\left(\cos{\left(x \right)} \cos{\left(\sin{\left(x \right)} \right)}\right) = \left\langle -1, 1\right\rangle
Let's take the limit
so,
equation of the horizontal asymptote on the right:
y=⟨−1,1⟩y = \left\langle -1, 1\right\rangle
Inclined asymptotes
Inclined asymptote can be found by calculating the limit of cos(x)*cos(sin(x)), divided by x at x->+oo and x ->-oo
lim⁡x→−∞(cos⁡(x)cos⁡(sin⁡(x))x)=0\lim_{x \to -\infty}\left(\frac{\cos{\left(x \right)} \cos{\left(\sin{\left(x \right)} \right)}}{x}\right) = 0
Let's take the limit
so,
inclined coincides with the horizontal asymptote on the right
lim⁡x→∞(cos⁡(x)cos⁡(sin⁡(x))x)=0\lim_{x \to \infty}\left(\frac{\cos{\left(x \right)} \cos{\left(\sin{\left(x \right)} \right)}}{x}\right) = 0
Let's take the limit
so,
inclined coincides with the horizontal asymptote on the left
Even and odd functions
Let's check, whether the function even or odd by using relations f = f(-x) и f = -f(-x).
So, check:
cos⁡(x)cos⁡(sin⁡(x))=cos⁡(x)cos⁡(sin⁡(x))\cos{\left(x \right)} \cos{\left(\sin{\left(x \right)} \right)} = \cos{\left(x \right)} \cos{\left(\sin{\left(x \right)} \right)}
- Yes
cos⁡(x)cos⁡(sin⁡(x))=−cos⁡(x)cos⁡(sin⁡(x))\cos{\left(x \right)} \cos{\left(\sin{\left(x \right)} \right)} = - \cos{\left(x \right)} \cos{\left(\sin{\left(x \right)} \right)}
- No
so, the function
is
even
The graph
Graphing y = cos(x)*cos(sin(x))
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