What is the general solution for cos(8x)=0 ?

The general solution for cos(8x)=0 is x= pi/(16)+(pin)/4 ,x=(3pi}{16}+\frac{pin)/4

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cos(8x)=0

cos (8 x) = 0

x = \frac{π}{16} + \frac{πn}{4}, x = \frac{3 π}{16} + \frac{πn}{4}

Solution steps

cos (8 x) = 0

General solutions for

cos (8 x) = 0

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

Solve

8 x = \frac{π}{2} + 2 πn : x = \frac{π}{16} + \frac{πn}{4}

Solve

8 x = \frac{3 π}{2} + 2 πn : x = \frac{3 π}{16} + \frac{πn}{4}

x = \frac{π}{16} + \frac{πn}{4}, x = \frac{3 π}{16} + \frac{πn}{4}

sin (x) + 2 sin (x) cos (x) = 0, 0 \leq x \leq 2 π

9 cos^{2} (θ) - 24 sin (θ) - 10 = - 8 sin (θ) + 6

cos^{2} (θ) = sin^{2} (θ) - 1

2 cos (2 θ) = - 3

10 cos^{2} (x) + 11 cos (x) + 3 = 0

What is the general solution for cos(8x)=0 ?
The general solution for cos(8x)=0 is x= pi/(16)+(pin)/4 ,x=(3pi}{16}+\frac{pin)/4