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

The general solution for cos(x)=(-1)/(sqrt(2)) is x=(3pi)/4+2pin,x=(5pi)/4+2pin

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

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

x = \frac{3 π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn

Solution steps

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

Simplify

\frac{- 1}{2} : - \frac{2}{2}

General solutions for

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

x = \frac{3 π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn

sin^{2} (x) = cos^{2} (x) - sin (x)

y, cos (y) = x

\frac{sin ^{2} ( x )}{1 + cos ( x )} = 1

1 + sin (x) = cos (x)

cos (2 x) = \frac{2}{π}

What is the general solution for cos(x)=(-1)/(sqrt(2)) ?
The general solution for cos(x)=(-1)/(sqrt(2)) is x=(3pi)/4+2pin,x=(5pi)/4+2pin