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Popular >

solvefor y,x=sin(2y)

Solution

solve for

y, x = sin (2 y)

Solution

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

Solution steps

x = sin (2 y)

Switch sides

sin (2 y) = x

Apply trig inverse properties

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

Solve

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

Solve

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

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

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sin (A) = \frac{12}{13}

csc(A)= 6/5 ,90<A<180

csc (A) = \frac{6}{5}, 9 0^{\circ} < A < 18 0^{\circ}

cot(θ)=(-(24))/((7))

cot (θ) = \frac{- ( 24 )}{( 7 )}

Frequently Asked Questions (FAQ)

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