Mister Exam
Other calculators
-
How to use it?
- Equation:
- Equation x^3-64*x=0
-
Equation 3x^2=2x+x^3
-
Equation 2*(-4*x^2/(x^2-4)+1+(x^2+4)*(4*x^2/(x^2-4)-1)/(x^2-4))/(x^2-4)=0
-
Equation 4(x+6)=x
- Express {x} in terms of y where:
- 3*x-9*y=5
- -1*x+20*y=16
- -4*x+6*y=3
- -2*x-8*y=-12
- Integral of d{x}:
- |cosx|
-
Identical expressions
- |cosx|=sinxcisx
- module of co sinus of e of x| equally sinus of xcisx
-
Similar expressions
- |cos(x)|-1=ln|x|
|cosx|=sinxcisx equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
|cos(x)| = sin(x)*cos(x)
$$\left|{\cos{\left(x \right)}}\right| = \sin{\left(x \right)} \cos{\left(x \right)}$$
Rapid solution
[src]
-pi
x1 = ----
2
$$x_{1} = - \frac{\pi}{2}$$
pi
x2 = --
2
$$x_{2} = \frac{\pi}{2}$$
x2 = pi/2
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
Numerical answer
[src]
x1 = -1.5708395883501
x2 = 95.8185683409998
x3 = -58.1194673956422
x4 = -80.1106700221811
x5 = -45.5531406161696
x6 = -64.4027032421125
x7 = 20.4203109469995
x8 = -42.4115582078007
x9 = -155.508951629997
x10 = -64.4027126077387
x11 = -7.85403322315325
x12 = 105.243324206694
x13 = -73.8274893933856
x14 = 83.2521009270462
x15 = -29.8452193395175
x16 = 86.3937626449816
x17 = 51.8362726566292
x18 = -86.3938484654056
x19 = 64.4026120631021
x20 = 73.8274205251885
x21 = 51.8361694449069
x22 = -80.1106375764815
x23 = -67.5442911095362
x24 = -51.8363372113135
x25 = 61.2610554533292
x26 = -23.5619901092509
x27 = -39.2700111445703
x28 = 67.5441636984704
x29 = 80.1105739968346
x30 = -17.2788609840697
x31 = 15454366.0549129
x32 = 76.9690072869972
x33 = -14.137171241736
x34 = 42.4114614973024
x35 = -61.2611612947608
x36 = 58.1194222487193
x37 = 95.8184543696761
x38 = 7.85388676661539
x39 = 7.85397677087921
x40 = 114.668056772174
x41 = 29.8451247377487
x42 = -80.1106155328426
x43 = -58.119532055033
x44 = 23.5618756435796
x45 = -384.84520844024
x46 = 4.71228918668806
x47 = 26.7034393676549
x48 = -83.2523114345838
x49 = -23.5620274181456
x50 = 92.676932707963
x51 = -95.8186417782731
x52 = 89.5353073244408
x53 = -29.8451851680167
x54 = 73.827311651389
x55 = 14.1371186499381
x56 = 1.57073124780888
x57 = 45.5530197990749
x58 = -36.1283932235321
x59 = -36.1283192979371
x60 = 20.420323442178
x61 = 70.6857397600493
x62 = 92.6768899714075
x63 = 48.6945895587878
x64 = -89.535441589746
x65 = -14.1372535946994
x66 = -20.4204133737498
x67 = 29.8450277989543
x68 = 36.1282704695689
x68 = 36.1282704695689