What is the general solution for cos^2(x)+6sin(x)-6=0 ?

The general solution for cos^2(x)+6sin(x)-6=0 is x= pi/2+2pin

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cos^2(x)+6sin(x)-6=0

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

x = \frac{π}{2} + 2 πn

Solution steps

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

Rewrite using trig identities

- 5 - sin^{2} (x) + 6 sin (x) = 0

Solve by substitution

sin (x) = 1, sin (x) = 5

sin (x) = 1 : x = \frac{π}{2} + 2 πn

sin (x) = 5 :

No Solution

Combine all the solutions

x = \frac{π}{2} + 2 πn

(1 - sin (x)) \cdot cos^{3} (x) = 0

- tan (x) = 3.465

3 cos^{2} (x) - sin (x) + 1 = 0

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

2 sin (x) cos^{2} (x) - 1 + 2 cos^{2} (x) - sin (x) = 0

What is the general solution for cos^2(x)+6sin(x)-6=0 ?
The general solution for cos^2(x)+6sin(x)-6=0 is x= pi/2+2pin