What is the general solution for sin(t)=-(sqrt(3))/2 ?

The general solution for sin(t)=-(sqrt(3))/2 is t=(4pi)/3+2pin,t=(5pi)/3+2pin

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sin(t)=-(sqrt(3))/2

sin (t) = - \frac{3}{2}

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

Solution steps

sin (t) = - \frac{3}{2}

General solutions for

sin (t) = - \frac{3}{2}

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

2 sin (2 θ) - 3 sin (θ) = 0

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

4 cos^{2} (x) - 1 = 0, 0 \leq x \leq 2 π

cos (2 x) + 3 sin (x) = 1

tan (2 θ) - 2 cos (θ) = 0

What is the general solution for sin(t)=-(sqrt(3))/2 ?
The general solution for sin(t)=-(sqrt(3))/2 is t=(4pi)/3+2pin,t=(5pi)/3+2pin