What is the general solution for sin^2(x)=20-sin(x) ?

The general solution for sin^2(x)=20-sin(x) is No Solution for x\in\mathbb{R}

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sin^2(x)=20-sin(x)

sin^{2} (x) = 20 - sin (x)

No Solution for x \in R

Solution steps

sin^{2} (x) = 20 - sin (x)

Solve by substitution

sin (x) = 4, sin (x) = - 5

sin (x) = 4 :

No Solution

sin (x) = - 5 :

No Solution

Combine all the solutions

No Solution for x \in R

\frac{cos ( x )}{1 - cos ^{2} ( x )} = \frac{2}{3}

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

- sec^{2} (x) - 5 = 2 sec (x) - 4

2 sin^{2} (x) + 2 sin (x) = 0

8 sin (x) cos (x) = 0

What is the general solution for sin^2(x)=20-sin(x) ?
The general solution for sin^2(x)=20-sin(x) is No Solution for x\in\mathbb{R}