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

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

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cos^4(t)=1

cos^{4} (t) = 1

t = 2 πn, t = π + 2 πn

Solution steps

cos^{4} (t) = 1

Solve by substitution

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

cos (t) = 1 : t = 2 πn

cos (t) = - 1 : t = π + 2 πn

cos (t) = i :

No Solution

cos (t) = - i :

No Solution

Combine all the solutions

t = 2 πn, t = π + 2 πn

8 cos^{2} (x) - 12 sin (x) - 12 = 0

1 - cos (x) = 2

8 sin^{2} (x) + 6 cos^{2} (x) = 10

sin^{2} (9 0^{\circ} - b) + cos^{2} (b - 45 0^{\circ}) = 1

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

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