What is the general solution for cos(8x)=-1 ?

The general solution for cos(8x)=-1 is x= pi/8+(pin)/4

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cos(8x)=-1

cos (8 x) = - 1

x = \frac{π}{8} + \frac{πn}{4}

Solution steps

cos (8 x) = - 1

General solutions for

cos (8 x) = - 1

8 x = π + 2 πn

Solve

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

x = \frac{π}{8} + \frac{πn}{4}

- 3 cos^{2} (x) + 2 cos (x) + 1 = 0

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

cos (x + \frac{3 π}{2}) + 2 sin (x + π) = 0

3 + 6 sin (3 x) = 0

cos (x) cos (2 x) - sin (x) sin (2 x) = 0

What is the general solution for cos(8x)=-1 ?
The general solution for cos(8x)=-1 is x= pi/8+(pin)/4