Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation x-6/x=-1
- Equation 1-y^2=2+x
-
Equation 1-7*(4+2*x)=-9-4*x
-
Equation sin(x)=2
- Express {x} in terms of y where:
- 4*x+3*y=-15
- -6*x+1*y=14
- 1*x+7*y=8
- 20*x-4*y=-7
-
Identical expressions
- (two sin^2*x-√3sinx)/(2cosx+ one)= zero
- (2 sinus of squared multiply by x minus √3 sinus of x) divide by (2 co sinus of e of x plus 1) equally 0
- (two sinus of squared multiply by x minus √3 sinus of x) divide by (2 co sinus of e of x plus one) equally zero
- (2sin2*x-√3sinx)/(2cosx+1)=0
- 2sin2*x-√3sinx/2cosx+1=0
- (2sin²*x-√3sinx)/(2cosx+1)=0
- (2sin to the power of 2*x-√3sinx)/(2cosx+1)=0
- (2sin^2x-√3sinx)/(2cosx+1)=0
- (2sin2x-√3sinx)/(2cosx+1)=0
- 2sin2x-√3sinx/2cosx+1=0
- 2sin^2x-√3sinx/2cosx+1=0
- (2sin^2*x-√3sinx)/(2cosx+1)=O
- (2sin^2*x-√3sinx) divide by (2cosx+1)=0
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Similar expressions
- (2sin^2*x-√3sinx)/(2cosx-1)=0
- (2sin^2*x+√3sinx)/(2cosx+1)=0
(2sin^2*x-√3sinx)/(2cosx+1)=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
2 __________
2*sin (x) - \/ 3*sin(x)
------------------------ = 0
2*cos(x) + 1
$$\frac{- \sqrt{3 \sin{\left(x \right)}} + 2 \sin^{2}{\left(x \right)}}{2 \cos{\left(x \right)} + 1} = 0$$
Rapid solution
[src]
x1 = 0
$$x_{1} = 0$$
/3 ___\
|\/ 6 |
x2 = asin|-----|
\ 2 /
$$x_{2} = \operatorname{asin}{\left(\frac{\sqrt[3]{6}}{2} \right)}$$
x2 = asin(6^(1/3)/2)
Sum and product of roots
[src]
sum
/3 ___\
|\/ 6 |
asin|-----|
\ 2 /
$$\operatorname{asin}{\left(\frac{\sqrt[3]{6}}{2} \right)}$$
=
/3 ___\
|\/ 6 |
asin|-----|
\ 2 /
$$\operatorname{asin}{\left(\frac{\sqrt[3]{6}}{2} \right)}$$
product
/3 ___\
|\/ 6 |
0*asin|-----|
\ 2 /
$$0 \operatorname{asin}{\left(\frac{\sqrt[3]{6}}{2} \right)}$$
=
0
$$0$$
0
Numerical answer
[src]
x1 = -74.2583989416849
x2 = -99.3911401704033
x3 = -17.7097311770687
x4 = -36.5592870986074
x5 = 70.2548631234455
x6 = -23.9929164842482
x7 = 38.8389365875476
x8 = 76.5380484306251
x9 = -93.1079548632237
x10 = 2.0017679091197
x11 = 52.2672503665564
x12 = -41.9805292411374
x13 = -80.5415842488645
x14 = 57.6884925090864
x15 = 63.971677816266
x16 = -55.4088430201462
x17 = 45.9840650593768
x18 = 19.9893806660089
x19 = 82.8212337378047
x20 = -11.4265458698891
x21 = -67.9752136345054
x22 = 26.2725659731884
x23 = 96.2495475168135
x24 = 7.42301005164968
x25 = 89.1044190449843
x26 = 0.0
x27 = 32.555751280368
x28 = 13.7061953588293
x29 = -61.6920283273258
x30 = -86.8247695560441
x31 = -30.2761017914278
x31 = -30.2761017914278