en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

solvefor y,x=sin(1/2 y)

Solution

solve for

y, x = sin (\frac{1}{2} y)

Solution

y = 2 arcsin (x) + 4 πn, y = 2 π + 2 arcsin (- x) + 4 πn

Solution steps

x = sin (\frac{1}{2} y)

Switch sides

sin (\frac{1}{2} y) = x

Apply trig inverse properties

\frac{1}{2} y = arcsin (x) + 2 πn, \frac{1}{2} y = π + arcsin (- x) + 2 πn

Solve

\frac{1}{2} y = arcsin (x) + 2 πn : y = 2 arcsin (x) + 4 πn

Solve

\frac{1}{2} y = π + arcsin (- x) + 2 πn : y = 2 π + 2 arcsin (- x) + 4 πn

y = 2 arcsin (x) + 4 πn, y = 2 π + 2 arcsin (- x) + 4 πn

Popular Examples

sin^2(θ)-sin(θ)=2

sin^{2} (θ) - sin (θ) = 2

solvefor x,sin(x)cos(x)=0 solve for

x, sin (x) cos (x) = 0

2/3 =(sin(135))/(sin(x))

\frac{2}{3} = \frac{sin ( 13 5 ^{\circ} )}{sin ( x )}

10 = cos (x)

tan (θ) = \frac{0}{5}

Frequently Asked Questions (FAQ)

What is the general solution for solvefor y,x=sin(1/2 y) ?
The general solution for solvefor y,x=sin(1/2 y) is y=2arcsin(x)+4pin,y=2pi+2arcsin(-x)+4pin