What is the general solution for sin(-2x)=(-1)/2 ?

The general solution for sin(-2x)=(-1)/2 is x=-(7pi)/(12)-pin,x=-(11pi)/(12)-pin

Popular >

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

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

x = - \frac{7 π}{12} - πn, x = - \frac{11 π}{12} - πn

Solution steps

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

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

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

General solutions for

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

- 2 x = \frac{7 π}{6} + 2 πn, - 2 x = \frac{11 π}{6} + 2 πn

Solve

- 2 x = \frac{7 π}{6} + 2 πn : x = - \frac{7 π}{12} - πn

Solve

- 2 x = \frac{11 π}{6} + 2 πn : x = - \frac{11 π}{12} - πn

x = - \frac{7 π}{12} - πn, x = - \frac{11 π}{12} - πn

2 cos (x) sin (x) = 1

cos (2 x + 15) = 0.3

\frac{sin ^{2} ( x )}{cos ( x )} = 16.33

- 2 sin (θ) + 2 sin^{2} (θ) = 0

sin (2 π x) cos (π x) + cos (2 π x) sin (π x) = - 1

What is the general solution for sin(-2x)=(-1)/2 ?
The general solution for sin(-2x)=(-1)/2 is x=-(7pi)/(12)-pin,x=-(11pi)/(12)-pin