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

The general solution for sin(2t)=(sqrt(3))/2 is t= pi/6+pin,t= pi/3+pin

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

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

t = \frac{π}{6} + πn, t = \frac{π}{3} + πn

Solution steps

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

General solutions for

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

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

Solve

2 t = \frac{π}{3} + 2 πn : t = \frac{π}{6} + πn

Solve

2 t = \frac{2 π}{3} + 2 πn : t = \frac{π}{3} + πn

t = \frac{π}{6} + πn, t = \frac{π}{3} + πn

cos (θ) = \frac{5}{7}, sin (θ) > 0

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

tan (θ) = \frac{2 3}{2}

sec^{2} (x) + 2 tan (x) = 0

tan (x) = - 12, cos (x) > 0

What is the general solution for sin(2t)=(sqrt(3))/2 ?
The general solution for sin(2t)=(sqrt(3))/2 is t= pi/6+pin,t= pi/3+pin