What is the general solution for sec^2(θ)-2tan(θ)=0 ?

The general solution for sec^2(θ)-2tan(θ)=0 is θ= pi/4+pin

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sec^2(θ)-2tan(θ)=0

sec^{2} (θ) - 2 tan (θ) = 0

θ = \frac{π}{4} + πn

Solution steps

sec^{2} (θ) - 2 tan (θ) = 0

Rewrite using trig identities

1 + tan^{2} (θ) - 2 tan (θ) = 0

Solve by substitution

tan (θ) = 1

tan (θ) = 1 : θ = \frac{π}{4} + πn

Combine all the solutions

θ = \frac{π}{4} + πn

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

5 tan^{2} (x) - tan (x) = 0

3 tan (2 x) - 3 = 0

csc^{2} (x) = 3 cot (x) + 5

7^{2} + 2 5^{2} - 2 (7) (25) cos (x) = 2 4^{2}

What is the general solution for sec^2(θ)-2tan(θ)=0 ?
The general solution for sec^2(θ)-2tan(θ)=0 is θ= pi/4+pin