What is the general solution for cos^2(3x)=1 ?

The general solution for cos^2(3x)=1 is x=(2pin)/3 ,x= pi/3+(2pin)/3

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cos^2(3x)=1

cos^{2} (3 x) = 1

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

Solution steps

cos^{2} (3 x) = 1

Solve by substitution

cos (3 x) = 1, cos (3 x) = - 1

cos (3 x) = 1 : x = \frac{2 πn}{3}

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

Combine all the solutions

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

tan (\frac{π}{4} - x) + cot (\frac{π}{4} - x) = 4

7 sin (θ) - 1 = 5 sin (θ)

csc (θ) = - \frac{7}{3}

sin (θ) = \frac{5}{8}

arctan (2 x) + arctan (x) = \frac{π}{4}

What is the general solution for cos^2(3x)=1 ?
The general solution for cos^2(3x)=1 is x=(2pin)/3 ,x= pi/3+(2pin)/3