What is the general solution for tan(3θ)=-1 ?

The general solution for tan(3θ)=-1 is θ= pi/4+(pin)/3

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tan(3θ)=-1

tan (3 θ) = - 1

θ = \frac{π}{4} + \frac{πn}{3}

Solution steps

tan (3 θ) = - 1

General solutions for

tan (3 θ) = - 1

3 θ = \frac{3 π}{4} + πn

Solve

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

θ = \frac{π}{4} + \frac{πn}{3}

1 + 2 sin (2 x) = 0

2 sech^{2} (x) + tanh (x) = 0

8 cos (2 θ) = - 24 cos (θ) - 16

16 cos^{2} (θ) - 9 = 0

sin (a) + cos (a) = 1

What is the general solution for tan(3θ)=-1 ?
The general solution for tan(3θ)=-1 is θ= pi/4+(pin)/3