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

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

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

solve for

x, 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

81 cos^{2} (x) = 16

sec (θ) (sec (θ) - 1) = 2

\frac{sin ( 7 4 ^{\circ} )}{8} = \frac{sin ( x )}{4}

\frac{cos ( x )}{cot ( x )} = sec (x)

1500 = 250 \cdot 8 \cdot cos (θ)

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