What is the general solution for cos(4x)=(-sqrt(3))/2 ?

The general solution for cos(4x)=(-sqrt(3))/2 is x=(5pi}{24}+(pin)/2 ,x=(7pi)/(24)+\frac{pin)/2

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cos(4x)=(-sqrt(3))/2

cos (4 x) = \frac{- 3}{2}

x = \frac{5 π}{24} + \frac{πn}{2}, x = \frac{7 π}{24} + \frac{πn}{2}

Solution steps

cos (4 x) = \frac{- 3}{2}

Apply the fraction rule:

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

cos (4 x) = - \frac{3}{2}

General solutions for

cos (4 x) = - \frac{3}{2}

4 x = \frac{5 π}{6} + 2 πn, 4 x = \frac{7 π}{6} + 2 πn

Solve

4 x = \frac{5 π}{6} + 2 πn : x = \frac{5 π}{24} + \frac{πn}{2}

Solve

4 x = \frac{7 π}{6} + 2 πn : x = \frac{7 π}{24} + \frac{πn}{2}

x = \frac{5 π}{24} + \frac{πn}{2}, x = \frac{7 π}{24} + \frac{πn}{2}

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

3 cos (x) sin (x) = sin (x)

2 \cdot sin (x) = sin (2 x)

3 sin (2 (\frac{x - π}{2})) + 1 = 2, 5

tan (x) = 0.4627

What is the general solution for cos(4x)=(-sqrt(3))/2 ?
The general solution for cos(4x)=(-sqrt(3))/2 is x=(5pi}{24}+(pin)/2 ,x=(7pi)/(24)+\frac{pin)/2