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Popular >

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

Solution

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

Solution

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

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Solution steps

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

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

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

Popular Examples

cos(2x)=(sqrt(3))/2 ,0<= x<= 2pi

cos (2 x) = \frac{3}{2}, 0 \leq x \leq 2 π

arcsin (\frac{4}{5})

cos (x) = \frac{3}{4}

csc (\frac{π}{4})

prove (cos(2x)-cos(4x))/(sin(2x)+sin(4x))=tan(x)prove

\frac{cos ( 2 x ) - cos ( 4 x )}{sin ( 2 x ) + sin ( 4 x )} = tan (x)

Frequently Asked Questions (FAQ)

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