Mister Exam
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How to use it?
- Equation:
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- Equation x-y=5
-
Equation 6x-3x+1=8
- Equation x^4-35*x^2-36=0
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Identical expressions
- sin4x+cos^2x=2sin4xcos^4x
- sinus of 4x plus co sinus of e of squared x equally 2 sinus of 4x co sinus of e of to the power of 4x
- sin4x+cos2x=2sin4xcos4x
- sin4x+cos²x=2sin4xcos⁴x
- sin4x+cos to the power of 2x=2sin4xcos to the power of 4x
-
Similar expressions
- sin4x-cos^2x=2sin4xcos^4x
sin4x+cos^2x=2sin4xcos^4x equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
2 4 sin(4*x) + cos (x) = 2*sin(4*x)*cos (x)
$$\sin{\left(4 x \right)} + \cos^{2}{\left(x \right)} = 2 \sin{\left(4 x \right)} \cos^{4}{\left(x \right)}$$
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 = 86.3937979737193
x2 = 101.44915229401
x3 = 92.0243743332402
x4 = -7.85398163397448
x5 = -86.3937979737193
x6 = 98.3075596404198
x7 = 1.5707963267949
x8 = -64.4026493985908
x9 = -87.046406921378
x10 = -58.1194640914112
x11 = -20.4203522483337
x12 = 89.5353906273091
x13 = -96.4711848821474
x14 = -36.7809244639413
x15 = 23.5619449019235
x16 = 4.059780032726
x17 = 64.4026493985908
x18 = 45.553093477052
x19 = 83.2522053201295
x20 = -17.9313685424026
x21 = -29.845130209103
x22 = -39.9225171175311
x23 = -33.6393318103515
x24 = -51.8362787842316
x25 = 80.1106126665397
x26 = -21.0729611959923
x27 = -83.9048142677882
x28 = 36.1283155162826
x29 = -80.7632216141984
x30 = 32.3341139150341
x31 = 73.1748184117015
x32 = -70.6858347057703
x33 = 1236.21670918758
x34 = 42.4115008234622
x35 = -93.3295922285576
x36 = -42.4115008234622
x37 = -58.7720730390699
x38 = -61.9136656926597
x39 = -46.2057024247107
x40 = 51.1836698365729
x41 = -95.8185759344887
x42 = -36.1283155162826
x43 = 10.3429653399056
x44 = 61.261056745001
x45 = 73.8274273593601
x46 = 14.1371669411541
x47 = 51.8362787842316
x48 = -89.5353906273091
x49 = -14.1371669411541
x50 = -24.2145538495821
x51 = -76.9690200129499
x52 = 82.5995963724708
x53 = 44.9004845293933
x54 = 95.8185759344887
x55 = 22.9093359542648
x56 = 54.3252624901627
x57 = 48.0420771829831
x58 = 29.845130209103
x59 = 58.1194640914112
x60 = -80.1106126665397
x61 = 70.0332257581117
x62 = -11.648183235223
x63 = -73.8274273593601
x64 = -55.6304803854801
x65 = 76.3164110652912
x66 = 7.85398163397448
x67 = 35.4757065686239
x68 = 26.0509286078546
x69 = 67.5442420521806
x69 = 67.5442420521806