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

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

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cos^2(x)+2sin(x)=2

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

x = \frac{π}{2} + 2 πn

Solution steps

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

Subtract

2

from both sides

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

Rewrite using trig identities

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

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

cos (21 6^{\circ}) = cos^{2} (a) - sin^{2} (a)

csc (- x) - 1 = cot^{2} (x)

tan (a) = \frac{141}{101}

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

sin (x) + \frac{2}{2} = 0

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