What is the general solution for sin(x)=(-11)/(11sqrt(2)) ?

The general solution for sin(x)=(-11)/(11sqrt(2)) is x=(5pi)/4+2pin,x=(7pi)/4+2pin

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sin(x)=(-11)/(11sqrt(2))

sin (x) = \frac{- 11}{11 2}

x = \frac{5 π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

Solution steps

sin (x) = \frac{- 11}{11 2}

Simplify

\frac{- 11}{11 2} : - \frac{2}{2}

General solutions for

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

x = \frac{5 π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

tan (x) = \frac{43}{45}

3 tan^{2} (x) + 5 tan (x) + 2 = 0

sin (2 x + \frac{π}{3}) = - \frac{3}{2}

tan (2 θ) + 2 cos (θ) = 0, 0 \leq θ \leq 2 π

cos (2 x) + 10 sin^{2} (x) = 5

What is the general solution for sin(x)=(-11)/(11sqrt(2)) ?
The general solution for sin(x)=(-11)/(11sqrt(2)) is x=(5pi)/4+2pin,x=(7pi)/4+2pin