Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 5*sin(x)+cos(x)=5
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Equation 4*x^2+7=7+24*x
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Equation 2x^2-3x-2=0
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Equation x^2-7*x+10=0
- Express {x} in terms of y where:
- 17*x-19*y=-12
- 3*x+19*y=4
- 13*x-1*y=-20
- -16*x-9*y=-1
- Derivative of:
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cos(x)
- Graphing y =:
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cos(x)
- Integral of d{x}:
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cos(x)
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Identical expressions
- √(sin(x)*cos(x))=cos(x)
- √( sinus of (x) multiply by co sinus of e of (x)) equally co sinus of e of (x)
- √(sin(x)cos(x))=cos(x)
- √sinxcosx=cosx
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Similar expressions
- √(sinx*cosx)=cosx
√(sin(x)*cos(x))=cos(x) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
_______________ \/ sin(x)*cos(x) = cos(x)
$$\sqrt{\sin{\left(x \right)} \cos{\left(x \right)}} = \cos{\left(x \right)}$$
Rapid solution
[src]
pi
x1 = --
4
$$x_{1} = \frac{\pi}{4}$$
pi
x2 = --
2
$$x_{2} = \frac{\pi}{2}$$
3*pi
x3 = ----
2
$$x_{3} = \frac{3 \pi}{2}$$
x3 = 3*pi/2
Sum and product of roots
[src]
sum
pi pi 3*pi -- + -- + ---- 4 2 2
$$\left(\frac{\pi}{4} + \frac{\pi}{2}\right) + \frac{3 \pi}{2}$$
=
9*pi ---- 4
$$\frac{9 \pi}{4}$$
product
pi pi 3*pi --*--*---- 4 2 2
$$\frac{3 \pi}{2} \frac{\pi}{4} \frac{\pi}{2}$$
=
3 3*pi ----- 16
$$\frac{3 \pi^{3}}{16}$$
3*pi^3/16
Numerical answer
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x1 = -36.9137136796801
x2 = 0.785398163397448
x3 = 51.0508806208341
x4 = 25.9181393921158
x5 = 63.6172512351933
x6 = -80.8960108299372
x7 = -43.1968989868597
x8 = 69.9004365423729
x9 = 13.3517687777566
x10 = 57.3340659280137
x11 = -24.3473430653209
x12 = -99.7455667514759
x13 = -87.1791961371168
x14 = -30.6305283725005
x15 = 7.06858347057703
x16 = 19.6349540849362
x17 = -187.71016105199
x18 = 76.1836218495525
x19 = 32.2013246992954
x20 = -49.4800842940392
x21 = 82.4668071567321
x22 = 38.484510006475
x23 = -93.4623814442964
x24 = 95.0331777710912
x25 = -74.6128255227576
x26 = -62.0464549083984
x27 = -55.7632696012188
x28 = -68.329640215578
x29 = 88.7499924639117
x30 = -5.49778714378214
x31 = 101.316363078271
x32 = 44.7676953136546
x33 = -11.7809724509617
x34 = -18.0641577581413
x34 = -18.0641577581413