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

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

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sec^2(θ)+sec(θ)=0

sec^{2} (θ) + sec (θ) = 0

θ = π + 2 πn

Solution steps

sec^{2} (θ) + sec (θ) = 0

Solve by substitution

sec (θ) = 0, sec (θ) = - 1

sec (θ) = 0 :

No Solution

sec (θ) = - 1 : θ = π + 2 πn

Combine all the solutions

θ = π + 2 πn

cos (2 x) - 3 cos (x) + 2 = 0

2 cos (θ) + 3 = 2

sin (2 x + \frac{π}{6}) = \frac{1}{2}

csc (5 x) = - 1

tan^{2} (θ) + 2 tan (θ) = 0

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