What is the general solution for cos^2(t)-2sin(t)-1=0 ?

The general solution for cos^2(t)-2sin(t)-1=0 is t=2pin,t=pi+2pin

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cos^2(t)-2sin(t)-1=0

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

t = 2 πn, t = π + 2 πn

Solution steps

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

Rewrite using trig identities

- sin^{2} (t) - 2 sin (t) = 0

Solve by substitution

sin (t) = - 2, sin (t) = 0

sin (t) = - 2 :

No Solution

sin (t) = 0 : t = 2 πn, t = π + 2 πn

Combine all the solutions

t = 2 πn, t = π + 2 πn

cos (2 x) + 8 sin^{2} (x) = 4

3 tan (θ) = 3

100 cos^{2} (x) - 25 = 0

cot (θ) = 5

cot (x) = - \frac{1}{3}

What is the general solution for cos^2(t)-2sin(t)-1=0 ?
The general solution for cos^2(t)-2sin(t)-1=0 is t=2pin,t=pi+2pin