What is the general solution for sec^2(θ)=1 ?

The general solution for sec^2(θ)=1 is θ=2pin,θ=pi+2pin

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sec^2(θ)=1

sec^{2} (θ) = 1

θ = 2 πn, θ = π + 2 πn

Solution steps

sec^{2} (θ) = 1

Solve by substitution

sec (θ) = 1, sec (θ) = - 1

sec (θ) = 1 : θ = 2 πn

sec (θ) = - 1 : θ = π + 2 πn

Combine all the solutions

θ = 2 πn, θ = π + 2 πn

cos (\frac{x + π}{2}) = sin (x)

2 sin (2 x) - 1 = 0, 0 \leq x < 2 π

cos (A) = - \frac{4}{5}

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

sin (3 x) cos (x) - cos (3 x) sin (x) = 0

What is the general solution for sec^2(θ)=1 ?
The general solution for sec^2(θ)=1 is θ=2pin,θ=pi+2pin