What is the general solution for cos^2(θ)=2-2sin(θ) ?

The general solution for cos^2(θ)=2-2sin(θ) is θ= pi/2+2pin

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cos^2(θ)=2-2sin(θ)

cos^{2} (θ) = 2 - 2 sin (θ)

θ = \frac{π}{2} + 2 πn

Solution steps

cos^{2} (θ) = 2 - 2 sin (θ)

Subtract

2 - 2 sin (θ)

from both sides

cos^{2} (θ) - 2 + 2 sin (θ) = 0

Rewrite using trig identities

- 1 - sin^{2} (θ) + 2 sin (θ) = 0

Solve by substitution

sin (θ) = 1

sin (θ) = 1 : θ = \frac{π}{2} + 2 πn

Combine all the solutions

θ = \frac{π}{2} + 2 πn

x, sin (x) = 0.5

x, z = arcsin (\frac{y}{x})

3 csc (A) - 6 = 0

15 cos^{2} (x) + sin (x) - 9 = 0

tan (x) = 2 - 3

What is the general solution for cos^2(θ)=2-2sin(θ) ?
The general solution for cos^2(θ)=2-2sin(θ) is θ= pi/2+2pin