What is the general solution for sec^2(θ)-sec(θ)=2,θ[0, pi/2 ] ?

The general solution for sec^2(θ)-sec(θ)=2,θ[0, pi/2 ] is No Solution for θ\in\mathbb{R}

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sec^2(θ)-sec(θ)=2,θ[0, pi/2 ]

sec^{2} (θ) - sec (θ) = 2, θ [0, \frac{π}{2}]

No Solution for θ \in R

Solution steps

sec^{2} (θ) - sec (θ) = 2, θ [0, \frac{π}{2}]

Solve by substitution

sec (θ) = 2, sec (θ) = - 1

sec (θ) = 2, θ [0, \frac{π}{2}] :

No Solution

sec (θ) = - 1, θ [0, \frac{π}{2}] :

No Solution

Combine all the solutions

No Solution for θ \in R

x, sin (x) = - 0.5

tan (2 θ) = 1, 0 \leq θ \leq 2 π

0.4 = 0.4 cos^{2} (θ)

sin (α) = \frac{15}{17}

4 sin^{2} (x) cot (x) - cot (x) = 0, 0 \leq x \leq 2 π

What is the general solution for sec^2(θ)-sec(θ)=2,θ[0, pi/2 ] ?
The general solution for sec^2(θ)-sec(θ)=2,θ[0, pi/2 ] is No Solution for θ\in\mathbb{R}