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

The general solution for sec(θ)=2,(tan(θ)-sin(θ))^2+(1-cos(θ))^2 is No Solution for θ\in\mathbb{R}

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sec(θ)=2,(tan(θ)-sin(θ))^2+(1-cos(θ))^2

sec (θ) = 2, (tan (θ) - sin (θ))^{2} + (1 - cos (θ))^{2}

No Solution for θ \in R

Solution steps

sec (θ) = 2, (tan (θ) - sin (θ))^{2} + (1 - cos (θ))^{2}

General solutions for

sec (θ) = 2

sec (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sec (x) 1 \frac{2 3}{3} 22 Undefined - 2 - 2 - \frac{2 3}{3} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sec (x) - 1 - \frac{2 3}{3} - 2 - 2 Undefined 22 \frac{2 3}{3}

θ = \frac{π}{3} + 2 πn, θ = \frac{5 π}{3} + 2 πn

θ = \frac{π}{3} + 2 πn, θ = \frac{5 π}{3} + 2 πn

Solutions for the range

(tan (θ) - sin (θ))^{2} + (1 - cos (θ))^{2}

No Solution for θ \in R

(1 + csc (A)) (1 - csc (A)) = - cot (A)

6 cos^{2} (3 x) - cos (3 x) - 2 = 0

cos (2 x) - 3 cos (x) + 1 = 0

2 cos^{2} (x) - cos (x) - 1 = 0, 0^{\circ} \leq x \leq 36 0^{\circ}

θ, x = tan (θ)

What is the general solution for sec(θ)=2,(tan(θ)-sin(θ))^2+(1-cos(θ))^2 ?
The general solution for sec(θ)=2,(tan(θ)-sin(θ))^2+(1-cos(θ))^2 is No Solution for θ\in\mathbb{R}