What is the general solution for cos(x/4)=-(sqrt(2))/2 ?

The general solution for cos(x/4)=-(sqrt(2))/2 is x=3pi+8pin,x=5pi+8pin

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cos(x/4)=-(sqrt(2))/2

cos (\frac{x}{4}) = - \frac{2}{2}

x = 3 π + 8 πn, x = 5 π + 8 πn

Solution steps

cos (\frac{x}{4}) = - \frac{2}{2}

General solutions for

cos (\frac{x}{4}) = - \frac{2}{2}

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

Solve

\frac{x}{4} = \frac{3 π}{4} + 2 πn : x = 3 π + 8 πn

Solve

\frac{x}{4} = \frac{5 π}{4} + 2 πn : x = 5 π + 8 πn

x = 3 π + 8 πn, x = 5 π + 8 πn

tan (θ) = \frac{- 4}{4}

tan (x) = \frac{12}{20}

2 sin (x) + sin (x) = 0

15 cos (x) = 0

sin (\frac{π}{2} - x) = cos^{2} (x)

What is the general solution for cos(x/4)=-(sqrt(2))/2 ?
The general solution for cos(x/4)=-(sqrt(2))/2 is x=3pi+8pin,x=5pi+8pin