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Popular >

solvefor y=sin(2x),x

Solution

solve for

y = sin (2 x), x

Solution

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

Solution steps

y = sin (2 x)

Switch sides

sin (2 x) = y

Apply trig inverse properties

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

Solve

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

Solve

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

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

Popular Examples

(1+cos(x))(1+cos(2x))= 1/4

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solvefor x,y+3=2sin(4x)solve for

x, y + 3 = 2 sin (4 x)

tan^4(x)-2sec^2(x)+3=0

tan^{4} (x) - 2 sec^{2} (x) + 3 = 0

sqrt(sin(x))=2sin(x)-1

sin (x) = 2 sin (x) - 1

tan (x) = - \frac{5}{3}

Frequently Asked Questions (FAQ)

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