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

The general solution for tan^2(θ)=1-sec^2(θ) is θ=pin

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tan^2(θ)=1-sec^2(θ)

tan^{2} (θ) = 1 - sec^{2} (θ)

θ = πn

Solution steps

tan^{2} (θ) = 1 - sec^{2} (θ)

Subtract

1 - sec^{2} (θ)

from both sides

tan^{2} (θ) - 1 + sec^{2} (θ) = 0

Rewrite using trig identities

2 tan^{2} (θ) = 0

Divide both sides by

2

tan (θ) = 0

General solutions for

tan (θ) = 0

θ = 0 + πn

Solve

θ = 0 + πn : θ = πn

θ = πn

x, sin (4 x) = 0

cot (θ) = - \frac{7}{8}

cos (2 x) = - sin (2 x)

α, sin^{2} (α) + sin^{2} (β) = 1

- 6 cos (A) + 8 = 3 cos (A) + 8

What is the general solution for tan^2(θ)=1-sec^2(θ) ?
The general solution for tan^2(θ)=1-sec^2(θ) is θ=pin