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

The general solution for cos(3x)=sin(3x) is x= pi/(12)+(pin)/3

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cos(3x)=sin(3x)

cos (3 x) = sin (3 x)

x = \frac{π}{12} + \frac{πn}{3}

Solution steps

cos (3 x) = sin (3 x)

Rewrite using trig identities

tan (3 x) = 1

General solutions for

tan (3 x) = 1

3 x = \frac{π}{4} + πn

Solve

3 x = \frac{π}{4} + πn : x = \frac{π}{12} + \frac{πn}{3}

x = \frac{π}{12} + \frac{πn}{3}

sin (t) = \frac{3}{5}

cos (2 x) + 5 cos (x) = 2

cos (5 x) = 1

cos (θ) = 0.52

2 = sin (x)

What is the general solution for cos(3x)=sin(3x) ?
The general solution for cos(3x)=sin(3x) is x= pi/(12)+(pin)/3