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

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

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sin(3θ)=cos(3θ)

sin (3 θ) = cos (3 θ)

θ = \frac{π}{12} + \frac{πn}{3}

Solution steps

sin (3 θ) = cos (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}

2 + sec (x) = 0

cos (x) = \frac{3}{2}, sin (x), \frac{3 π}{2} \leq x \leq 2 π

sec (x) = 9

cot (x + 1) = 0

cot^{2} (x) = \frac{1 + sin ( x )}{1 + cos ( x )}

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