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

The general solution for sin(x)=(-1)/(sqrt(2)) is x=(5pi)/4+2pin,x=(7pi)/4+2pin

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

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

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

Solution steps

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

Simplify

\frac{- 1}{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

sin (6 x) + sin (x) = 0

30 arcsin (x) = 5 π

3 (tan (x)) + 12 = 3

tan (3 x) - 3 = 0

3 sin (x) - 2 = 5 sin (x) - 1

What is the general solution for sin(x)=(-1)/(sqrt(2)) ?
The general solution for sin(x)=(-1)/(sqrt(2)) is x=(5pi)/4+2pin,x=(7pi)/4+2pin