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

The general solution for sec(2x)=-2 is x= pi/3+pin,x=(2pi)/3+pin

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sec(2x)=-2

sec (2 x) = - 2

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

Solution steps

sec (2 x) = - 2

General solutions for

sec (2 x) = - 2

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

Solve

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

Solve

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

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

cos (x) = \frac{5}{7}

cos (8 x) = 0

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

What is the general solution for sec(2x)=-2 ?
The general solution for sec(2x)=-2 is x= pi/3+pin,x=(2pi)/3+pin