What is the general solution for sec(3x)=-sqrt(2) ?

The general solution for sec(3x)=-sqrt(2) is x= pi/4+(2pin)/3 ,x=(5pi}{12}+\frac{2pin)/3

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sec(3x)=-sqrt(2)

sec (3 x) = - 2

x = \frac{π}{4} + \frac{2 πn}{3}, x = \frac{5 π}{12} + \frac{2 πn}{3}

Solution steps

sec (3 x) = - 2

General solutions for

sec (3 x) = - 2

3 x = \frac{3 π}{4} + 2 πn, 3 x = \frac{5 π}{4} + 2 πn

Solve

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

Solve

3 x = \frac{5 π}{4} + 2 πn : x = \frac{5 π}{12} + \frac{2 πn}{3}

x = \frac{π}{4} + \frac{2 πn}{3}, x = \frac{5 π}{12} + \frac{2 πn}{3}

8 cos (θ) = 2 sec (θ)

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

sin (x) + sin (x) = 0

3 sec (x) - 5 = 0

5 cos (θ) - 5 = 0

What is the general solution for sec(3x)=-sqrt(2) ?
The general solution for sec(3x)=-sqrt(2) is x= pi/4+(2pin)/3 ,x=(5pi}{12}+\frac{2pin)/3