What is the general solution for sec(8x)=2 ?

The general solution for sec(8x)=2 is x= pi/(24)+(pin)/4 ,x=(5pi}{24}+\frac{pin)/4

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sec(8x)=2

sec (8 x) = 2

x = \frac{π}{24} + \frac{πn}{4}, x = \frac{5 π}{24} + \frac{πn}{4}

Solution steps

sec (8 x) = 2

General solutions for

sec (8 x) = 2

8 x = \frac{π}{3} + 2 πn, 8 x = \frac{5 π}{3} + 2 πn

Solve

8 x = \frac{π}{3} + 2 πn : x = \frac{π}{24} + \frac{πn}{4}

Solve

8 x = \frac{5 π}{3} + 2 πn : x = \frac{5 π}{24} + \frac{πn}{4}

x = \frac{π}{24} + \frac{πn}{4}, x = \frac{5 π}{24} + \frac{πn}{4}

tan (θ) = \frac{7}{8}

2 sin (4 x) + 1 = 0

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

2 = 2 - 2 sin (θ)

sin (2 θ) - 3 cos (θ) = 0

What is the general solution for sec(8x)=2 ?
The general solution for sec(8x)=2 is x= pi/(24)+(pin)/4 ,x=(5pi}{24}+\frac{pin)/4