What is the general solution for cos^2(t)= 1/4 ?

The general solution for cos^2(t)= 1/4 is t= pi/3+2pin,t=(5pi)/3+2pin,t=(2pi)/3+2pin,t=(4pi)/3+2pin

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cos^2(t)= 1/4

cos^{2} (t) = \frac{1}{4}

t = \frac{π}{3} + 2 πn, t = \frac{5 π}{3} + 2 πn, t = \frac{2 π}{3} + 2 πn, t = \frac{4 π}{3} + 2 πn

Solution steps

cos^{2} (t) = \frac{1}{4}

Solve by substitution

cos (t) = \frac{1}{2}, cos (t) = - \frac{1}{2}

cos (t) = \frac{1}{2} : t = \frac{π}{3} + 2 πn, t = \frac{5 π}{3} + 2 πn

cos (t) = - \frac{1}{2} : t = \frac{2 π}{3} + 2 πn, t = \frac{4 π}{3} + 2 πn

Combine all the solutions

t = \frac{π}{3} + 2 πn, t = \frac{5 π}{3} + 2 πn, t = \frac{2 π}{3} + 2 πn, t = \frac{4 π}{3} + 2 πn

6 sin (θ) = 32

x, 1 + sin^{3} (x y^{2}) = y

2 cos^{2} (θ) + 3 cos (θ) = 0

sin (\frac{2 x}{3}) - 1 = 0

4 sin^{2} (x) + 1 = 4

What is the general solution for cos^2(t)= 1/4 ?
The general solution for cos^2(t)= 1/4 is t= pi/3+2pin,t=(5pi)/3+2pin,t=(2pi)/3+2pin,t=(4pi)/3+2pin