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

The general solution for cos(2t)=-(sqrt(3))/2 is t=(5pi)/(12)+pin,t=(7pi)/(12)+pin

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

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

t = \frac{5 π}{12} + πn, t = \frac{7 π}{12} + πn

Solution steps

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

General solutions for

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

2 t = \frac{5 π}{6} + 2 πn, 2 t = \frac{7 π}{6} + 2 πn

Solve

2 t = \frac{5 π}{6} + 2 πn : t = \frac{5 π}{12} + πn

Solve

2 t = \frac{7 π}{6} + 2 πn : t = \frac{7 π}{12} + πn

t = \frac{5 π}{12} + πn, t = \frac{7 π}{12} + πn

sec (θ) = 2

tan (arccos (- \frac{12}{13}))

cos (3 0^{\circ})

2 cos (π)

sin^{2} (\frac{π}{4})

What is the general solution for cos(2t)=-(sqrt(3))/2 ?
The general solution for cos(2t)=-(sqrt(3))/2 is t=(5pi)/(12)+pin,t=(7pi)/(12)+pin