What is the general solution for sin^2(θ)=5sin(θ)+6 ?

The general solution for sin^2(θ)=5sin(θ)+6 is θ=(3pi)/2+2pin

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sin^2(θ)=5sin(θ)+6

sin^{2} (θ) = 5 sin (θ) + 6

θ = \frac{3 π}{2} + 2 πn

Solution steps

sin^{2} (θ) = 5 sin (θ) + 6

Solve by substitution

sin (θ) = 6, sin (θ) = - 1

sin (θ) = 6 :

No Solution

sin (θ) = - 1 : θ = \frac{3 π}{2} + 2 πn

Combine all the solutions

θ = \frac{3 π}{2} + 2 πn

2 = 2 sec (x)

cos (x) - sin (x) = \frac{2}{2}

cos^{2} (θ) = 1 + sin (θ)

\frac{2}{5} cos (x) = \frac{2}{5}

sin^{2} (x) = 6 (cos (- x) + 1)

What is the general solution for sin^2(θ)=5sin(θ)+6 ?
The general solution for sin^2(θ)=5sin(θ)+6 is θ=(3pi)/2+2pin