What is the general solution for cos(5x)=(sqrt(3))/2 ?

The general solution for cos(5x)=(sqrt(3))/2 is x= pi/(30)+(2pin)/5 ,x=(11pi}{30}+\frac{2pin)/5

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cos(5x)=(sqrt(3))/2

cos (5 x) = \frac{3}{2}

x = \frac{π}{30} + \frac{2 πn}{5}, x = \frac{11 π}{30} + \frac{2 πn}{5}

Solution steps

cos (5 x) = \frac{3}{2}

General solutions for

cos (5 x) = \frac{3}{2}

5 x = \frac{π}{6} + 2 πn, 5 x = \frac{11 π}{6} + 2 πn

Solve

5 x = \frac{π}{6} + 2 πn : x = \frac{π}{30} + \frac{2 πn}{5}

Solve

5 x = \frac{11 π}{6} + 2 πn : x = \frac{11 π}{30} + \frac{2 πn}{5}

x = \frac{π}{30} + \frac{2 πn}{5}, x = \frac{11 π}{30} + \frac{2 πn}{5}

- 2 cos^{2} (x) = cos (x) - 1

cos (2 x) - sin (2 x) = 0

cos (5 θ) = 0

sin (θ) = csc (θ)

- 5 sin (x) = 0, 0 \leq x \leq 2 π

What is the general solution for cos(5x)=(sqrt(3))/2 ?
The general solution for cos(5x)=(sqrt(3))/2 is x= pi/(30)+(2pin)/5 ,x=(11pi}{30}+\frac{2pin)/5