What is the general solution for cos^4(x)=1 ?

The general solution for cos^4(x)=1 is x=2pin,x=pi+2pin

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cos^4(x)=1

cos^{4} (x) = 1

x = 2 πn, x = π + 2 πn

Solution steps

cos^{4} (x) = 1

Solve by substitution

cos (x) = 1, cos (x) = - 1, cos (x) = i, cos (x) = - i

cos (x) = 1 : x = 2 πn

cos (x) = - 1 : x = π + 2 πn

cos (x) = i :

No Solution

cos (x) = - i :

No Solution

Combine all the solutions

x = 2 πn, x = π + 2 πn

8 cos (2 x) = 8 cos (x) - 9

tan (x) = \frac{2}{1}

x, sin^{2} (x) = \frac{9 m - 8}{2}

cos (θ) = \frac{12}{20}

\frac{1 - sin ( θ )}{3 + 3 sin ( θ )} = 1

What is the general solution for cos^4(x)=1 ?
The general solution for cos^4(x)=1 is x=2pin,x=pi+2pin