What is the general solution for cos(3x)=0.5,0<x<pi ?

The general solution for cos(3x)=0.5,0<x<pi is x= pi/9 ,x=(5pi)/9 ,x=(7pi)/9

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cos(3x)=0.5,0<x<pi

cos (3 x) = 0.5, 0 < x < π

x = \frac{π}{9}, x = \frac{5 π}{9}, x = \frac{7 π}{9}

Solution steps

cos (3 x) = 0.5, 0 < x < π

General solutions for

cos (3 x) = 0.5

3 x = \frac{π}{3} + 2 πn, 3 x = \frac{5 π}{3} + 2 πn

Solve

3 x = \frac{π}{3} + 2 πn : x = \frac{π}{9} + \frac{2 πn}{3}

Solve

3 x = \frac{5 π}{3} + 2 πn : x = \frac{5 π}{9} + \frac{2 πn}{3}

x = \frac{π}{9} + \frac{2 πn}{3}, x = \frac{5 π}{9} + \frac{2 πn}{3}

Solutions for the range

0 < x < π

x = \frac{π}{9}, x = \frac{5 π}{9}, x = \frac{7 π}{9}

2 sin (3 x) = 1

cos (θ) - sin (θ) = 1

sin^{2} (x) - cos^{2} (x) + sin (x) = 0

3 cot^{2} (x) = 1

cos (θ) = - \frac{5}{13}

What is the general solution for cos(3x)=0.5,0<x<pi ?
The general solution for cos(3x)=0.5,0<x<pi is x= pi/9 ,x=(5pi)/9 ,x=(7pi)/9