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

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

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cos(3θ)=sin(3θ)

cos (3 θ) = sin (3 θ)

θ = \frac{π}{12} + \frac{πn}{3}

Solution steps

cos (3 θ) = sin (3 θ)

Rewrite using trig identities

tan (3 θ) = 1

General solutions for

tan (3 θ) = 1

3 θ = \frac{π}{4} + πn

Solve

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

θ = \frac{π}{12} + \frac{πn}{3}

cos (5 x) = 1, 0 \leq x \leq \frac{π}{2}

sec (x) = - 1 + tan (x)

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

x, csc (x) + cot (x) = 1

sin (θ) = - 5

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