Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation cos(x/2)=-(1/2)
-
Equation 2x+2=-3
-
Equation 9-2*(-4*x+7)=7
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Equation cos(x)=2/3
- Express {x} in terms of y where:
- -9*x-4*y=-20
- 12*x-13*y=-14
- -4*x+6*y=-7
- 18*x-8*y=-2
- Sum of series:
- sinx
- Graphing y =:
- sinx
- Integral of d{x}:
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sinx
- √3cosx
- Derivative of:
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√3cosx
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Identical expressions
- sinx=√3cosx
- sinus of x equally √3 co sinus of e of x
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Similar expressions
- 2sin²x+√3*cosx=√6*cosx(-π\4)
- sin(2*x)-12*(sin(x)-cos(x))+12=0
- sin(x)=sqrt(2)/2
sinx=√3cosx equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
__________ sin(x) = \/ 3*cos(x)
$$\sin{\left(x \right)} = \sqrt{3 \cos{\left(x \right)}}$$
Rapid solution
[src]
/ _____________\
| ___ / ____ |
|\/ 3 *\/ -2 + \/ 13 |
x1 = 2*atan|----------------------|
\ 3 /
$$x_{1} = 2 \operatorname{atan}{\left(\frac{\sqrt{3} \sqrt{-2 + \sqrt{13}}}{3} \right)}$$
Sum and product of roots
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sum
/ _____________\
| ___ / ____ |
|\/ 3 *\/ -2 + \/ 13 |
0 + 2*atan|----------------------|
\ 3 /
$$0 + 2 \operatorname{atan}{\left(\frac{\sqrt{3} \sqrt{-2 + \sqrt{13}}}{3} \right)}$$
=
/ _____________\
| ___ / ____ |
|\/ 3 *\/ -2 + \/ 13 |
2*atan|----------------------|
\ 3 /
$$2 \operatorname{atan}{\left(\frac{\sqrt{3} \sqrt{-2 + \sqrt{13}}}{3} \right)}$$
product
/ _____________\
| ___ / ____ |
|\/ 3 *\/ -2 + \/ 13 |
1*2*atan|----------------------|
\ 3 /
$$1 \cdot 2 \operatorname{atan}{\left(\frac{\sqrt{3} \sqrt{-2 + \sqrt{13}}}{3} \right)}$$
=
/ _____________\
| ___ / ____ |
|\/ 3 *\/ -2 + \/ 13 |
2*atan|----------------------|
\ 3 /
$$2 \operatorname{atan}{\left(\frac{\sqrt{3} \sqrt{-2 + \sqrt{13}}}{3} \right)}$$
2*atan(sqrt(3)*sqrt(-2 + sqrt(13))/3)
Numerical answer
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x1 = 26.3959339059825
x2 = -80.4182163160704
x3 = -42.7191044729929
x4 = -67.8518457017113
x5 = 51.5286751347009
x6 = -11.303177937095
x7 = 7.54637798444377
x8 = -92.9845869304296
x9 = -23.8695485514542
x10 = -5.0199926299154
x11 = -30.1527338586337
x12 = -49.0022897801725
x13 = 95.510972284958
x14 = 82.9446016705988
x15 = -86.70140162325
x16 = -74.1350310088908
x17 = 57.8118604418805
x18 = 32.6791192131621
x19 = -36.4359191658133
x20 = -17.5863632442746
x21 = 13.8295632916234
x22 = -99.2677722376092
x23 = 20.1127485988029
x24 = 89.2277869777784
x25 = 70.3782310562396
x26 = 76.6614163634192
x27 = 1.26319267726419
x28 = 64.09504574906
x29 = 45.2454898275213
x30 = -55.2854750873521
x31 = -61.5686603945317
x32 = 38.9623045203417
x32 = 38.9623045203417
The graph