What is the general solution for 3-3cos(5x)=3cos(5x) ?

The general solution for 3-3cos(5x)=3cos(5x) is x= pi/(15)+(2pin)/5 ,x= pi/3+(2pin)/5

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3-3cos(5x)=3cos(5x)

3 - 3 cos (5 x) = 3 cos (5 x)

x = \frac{π}{15} + \frac{2 πn}{5}, x = \frac{π}{3} + \frac{2 πn}{5}

Solution steps

3 - 3 cos (5 x) = 3 cos (5 x)

Solve by substitution

cos (5 x) = \frac{1}{2}

cos (5 x) = \frac{1}{2} : x = \frac{π}{15} + \frac{2 πn}{5}, x = \frac{π}{3} + \frac{2 πn}{5}

Combine all the solutions

x = \frac{π}{15} + \frac{2 πn}{5}, x = \frac{π}{3} + \frac{2 πn}{5}

6 tan^{2} (θ) + 11 tan (θ) = 4 tan (θ) - 2

\frac{1}{1 - cos ( x )} + \frac{1}{1 + cos ( x )} = 2 sec^{2} (x)

2 cos^{2} (θ) - sin (θ) = 2

θ, 2 sin^{2} (θ) = 1 - sin (θ)

cos (a) = \frac{57}{113 \cdot 78}

What is the general solution for 3-3cos(5x)=3cos(5x) ?
The general solution for 3-3cos(5x)=3cos(5x) is x= pi/(15)+(2pin)/5 ,x= pi/3+(2pin)/5