What is the general solution for cos^4(x)-1=0 ?

The general solution for cos^4(x)-1=0 is x=2pin,x=pi+2pin

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cos^4(x)-1=0

cos^{4} (x) - 1 = 0

x = 2 πn, x = π + 2 πn

Solution steps

cos^{4} (x) - 1 = 0

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

sec (x) - cos (x) = sin (x)

2 sin (x) = 3, 0 \leq x < 2 π

5 csc^{2} (x) + 2.5 cot (x) = 25

sec^{2} (x) + 0.5 tan (x) = 1

8 sin (x) = cos (x) - 3

What is the general solution for cos^4(x)-1=0 ?
The general solution for cos^4(x)-1=0 is x=2pin,x=pi+2pin