What is the general solution for 7sin^2(x)-14sin(x)+2=-5 ?

The general solution for 7sin^2(x)-14sin(x)+2=-5 is x= pi/2+2pin

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7sin^2(x)-14sin(x)+2=-5

7 sin^{2} (x) - 14 sin (x) + 2 = - 5

x = \frac{π}{2} + 2 πn

Solution steps

7 sin^{2} (x) - 14 sin (x) + 2 = - 5

Solve by substitution

sin (x) = 1

sin (x) = 1 : x = \frac{π}{2} + 2 πn

Combine all the solutions

x = \frac{π}{2} + 2 πn

sin (x) = - 3

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

y, z = e^{x} sin (x y)

5 sin^{2} (θ) + 11 sin (θ) + 6 = 0

cot^{2} (x) - 4 cot (x) + 3 = 0

What is the general solution for 7sin^2(x)-14sin(x)+2=-5 ?
The general solution for 7sin^2(x)-14sin(x)+2=-5 is x= pi/2+2pin