Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation x^2=-3
-
Equation 1/x^2+2/x-3=0
-
Equation 4=7-6(5x-1)
-
Equation cos(x)=-sin(x)
- Express {x} in terms of y where:
- 18*x+17*y=-14
- 16*x-17*y=-15
- -4*x-4*y=19
- -3*x+19*y=16
- Integral of d{x}:
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√sinxcosx
-
cosx
- Derivative of:
-
cosx
- Graphing y =:
-
cosx
-
Identical expressions
- √sinxcosx=cosx
- √ sinus of x co sinus of e of x equally co sinus of e of x
-
Similar expressions
- cos(x/3)=-1/2
- √(sin(x)*cos(x))=cos(x)
- sin(x)-sqrt(3)*cos(x)=1
- cos(x)=-sin(x)
√sinxcosx=cosx equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
________ \/ sin(x) *cos(x) = cos(x)
$$\sqrt{\sin{\left(x \right)}} \cos{\left(x \right)} = \cos{\left(x \right)}$$
Sum and product of roots
[src]
sum
pi pi - -- + -- 2 2
$$- \frac{\pi}{2} + \frac{\pi}{2}$$
=
0
$$0$$
product
-pi pi ----*-- 2 2
$$- \frac{\pi}{2} \frac{\pi}{2}$$
=
2 -pi ----- 4
$$- \frac{\pi^{2}}{4}$$
-pi^2/4
Rapid solution
[src]
-pi
x1 = ----
2
$$x_{1} = - \frac{\pi}{2}$$
pi
x2 = --
2
$$x_{2} = \frac{\pi}{2}$$
x2 = pi/2
Numerical answer
[src]
x1 = -98.96033100958
x2 = -51.8362787842316
x3 = -54.9780307551526
x4 = 64.4026119563075
x5 = -1.5707963267949
x6 = -17.2788634132472
x7 = -36.1282764383777
x8 = -42.411398664023
x9 = 73.8274273593601
x10 = 76.9688700996381
x11 = -95.8185759344887
x12 = -39.2699081698724
x13 = 54.9778714378214
x14 = 26.7034371873733
x15 = -83.2522053201295
x16 = 36.1283155162826
x17 = 10.9955742875643
x18 = -80.1105782992398
x19 = 61.261056745001
x20 = 39.270069914712
x21 = -76.9690200129499
x22 = 7.85402526756746
x23 = -61.2611639914319
x24 = 51.8363268399118
x25 = 14.1371748851122
x26 = -73.8274109435965
x27 = -32.9867228626928
x28 = 92.6769832808989
x29 = -23.5619902994994
x30 = -67.5442913534034
x31 = 45.5532026649473
x32 = -14.1371669411541
x33 = 98.9601685880785
x34 = 58.1194603036317
x35 = -58.1194640914112
x36 = -7.85398163397448
x37 = 83.252370175565
x38 = 95.8186282965806
x39 = 86.3937979737193
x40 = -89.5353906273091
x41 = -64.4026493985908
x42 = 20.4203108022497
x43 = -4.7122303626712
x44 = 4.71238898038469
x45 = 48.6946861306418
x46 = 89.5355032847097
x47 = -92.6768309709471
x48 = 32.9865697986195
x49 = -86.3936993759299
x50 = 1.5709020157898
x51 = 23.5619449019235
x52 = -45.553093477052
x53 = -70.6858347057703
x54 = -10.9957304860502
x55 = 17.2787595947439
x56 = 70.6857378108664
x57 = -20.4203522483337
x58 = -26.7035375555132
x59 = 80.1106126665397
x60 = -48.6945306575873
x61 = 42.4115008234622
x62 = 29.845130209103
x63 = 67.5442420521806
x64 = -29.8451151538315
x64 = -29.8451151538315