What is the general solution for -cos^2(θ)+1=0 ?

The general solution for -cos^2(θ)+1=0 is θ=2pin,θ=pi+2pin

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-cos^2(θ)+1=0

- cos^{2} (θ) + 1 = 0

θ = 2 πn, θ = π + 2 πn

Solution steps

- cos^{2} (θ) + 1 = 0

Solve by substitution

cos (θ) = 1, cos (θ) = - 1

cos (θ) = 1 : θ = 2 πn

cos (θ) = - 1 : θ = π + 2 πn

Combine all the solutions

θ = 2 πn, θ = π + 2 πn

cos^{2} (x) - \frac{1}{4} = 0, 0 \leq x \leq 2 π

tan (6 x) = 1

sin (2 x + 7) = cos (4 x - 7)

x, cot (x) = 2

- 2 sin^{2} (x) + sin (x) = 0

What is the general solution for -cos^2(θ)+1=0 ?
The general solution for -cos^2(θ)+1=0 is θ=2pin,θ=pi+2pin