Mister Exam
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How to use it?
- Equation:
-
Equation tan(x)=0
-
Equation -x-2+3(x-3)=3(4-x)-3
-
Equation 4x=24+x
-
Equation x+3=-9x
- Express {x} in terms of y where:
- 17*x-18*y=10
- -12*x-3*y=-9
- 4*x+16*y=6
- 4*x-15*y=19
-
Identical expressions
- (one +sinx)(one +cosx)= one +sinx+cosx
- (1 plus sinus of x)(1 plus co sinus of e of x) equally 1 plus sinus of x plus co sinus of e of x
- (one plus sinus of x)(one plus co sinus of e of x) equally one plus sinus of x plus co sinus of e of x
- 1+sinx1+cosx=1+sinx+cosx
-
Similar expressions
- (1+sinx)(1+cosx)=1-sinx+cosx
- (1-sinx)(1+cosx)=1+sinx+cosx
- (1+sinx)(1+cosx)=1+sinx-cosx
- (1+sinx)(1-cosx)=1+sinx+cosx
(1+sinx)(1+cosx)=1+sinx+cosx equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
(1 + sin(x))*(1 + cos(x)) = 1 + sin(x) + cos(x)
$$\left(\sin{\left(x \right)} + 1\right) \left(\cos{\left(x \right)} + 1\right) = \left(\sin{\left(x \right)} + 1\right) + \cos{\left(x \right)}$$
Rapid solution
[src]
x1 = 0
$$x_{1} = 0$$
-pi
x2 = ----
2
$$x_{2} = - \frac{\pi}{2}$$
pi
x3 = --
2
$$x_{3} = \frac{\pi}{2}$$
x3 = pi/2
Sum and product of roots
[src]
sum
pi pi - -- + -- 2 2
$$- \frac{\pi}{2} + \frac{\pi}{2}$$
=
0
$$0$$
product
-pi pi 0*----*-- 2 2
$$\frac{\pi}{2} \cdot 0 \left(- \frac{\pi}{2}\right)$$
=
0
$$0$$
0
Numerical answer
[src]
x1 = -97.3893722612836
x2 = -43.9822971502571
x3 = -29.845130209103
x4 = 56.5486677646163
x5 = 28.2743338823081
x6 = 29.845130209103
x7 = -81.6814089933346
x8 = -15.707963267949
x9 = 72.2566310325652
x10 = -39.2699081698724
x11 = 95.8185759344887
x12 = 45.553093477052
x13 = -53.4070751110265
x14 = -469.668101711674
x15 = 100.530964914873
x16 = -9.42477796076938
x17 = 81.6814089933346
x18 = 70.6858347057703
x19 = -21.9911485751286
x20 = -14.1371669411541
x21 = -119.380520836412
x22 = 42.4115008234622
x23 = -72.2566310325652
x24 = 15.707963267949
x25 = 50.2654824574367
x26 = -28.2743338823081
x27 = -6.28318530717959
x28 = -17.2787595947439
x29 = -48.6946861306418
x30 = 590.619418874881
x31 = -80.1106126665397
x32 = 113.097335529233
x33 = -87.9645943005142
x34 = 48.6946861306418
x35 = -20.4203522483337
x36 = 0.0
x37 = 20.4203522483337
x38 = 89.5353906273091
x39 = 31.4159265358979
x40 = -65.9734457253857
x41 = -73.8274273593601
x42 = 6.28318530717959
x43 = -67.5442420521806
x44 = -36.1283155162826
x45 = 94.2477796076938
x46 = -61.261056745001
x47 = 65.9734457253857
x48 = 36.1283155162826
x49 = 26.7035375555132
x50 = 21.9911485751286
x51 = 78.5398163397448
x52 = -89.5353906273091
x53 = 4.71238898038469
x54 = 7.85398163397448
x55 = 14.1371669411541
x56 = 86.3937979737193
x57 = 87.9645943005142
x58 = 12.5663706143592
x59 = 51.8362787842316
x60 = -37.6991118430775
x61 = -11086.6804745184
x62 = -51.8362787842316
x63 = -1.5707963267949
x64 = 59.6902604182061
x65 = -23.5619449019235
x66 = 64.4026493985908
x67 = 43.9822971502571
x68 = -50.2654824574367
x69 = 37.6991118430775
x70 = -95.8185759344887
x71 = -64.4026493985908
x72 = 80.1106126665397
x73 = -40.8407044966673
x74 = 73.8274273593601
x75 = -59.6902604182061
x76 = -7.85398163397448
x77 = -75.398223686155
x78 = -86.3937979737193
x79 = 23.5619449019235
x80 = 92.6769832808989
x81 = -45.553093477052
x82 = -83.2522053201295
x83 = 1.5707963267949
x84 = -58.1194640914112
x85 = 58.1194640914112
x86 = -94.2477796076938
x87 = -42.4115008234622
x88 = 67.5442420521806
x89 = 34.5575191894877
x90 = -31.4159265358979
x90 = -31.4159265358979