What is the general solution for 4tan(3x)=-4 ?

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

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4tan(3x)=-4

4 tan (3 x) = - 4

x = \frac{π}{4} + \frac{πn}{3}

Solution steps

4 tan (3 x) = - 4

Divide both sides by

4

tan (3 x) = - 1

General solutions for

tan (3 x) = - 1

3 x = \frac{3 π}{4} + πn

Solve

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

x = \frac{π}{4} + \frac{πn}{3}

2 sin^{2} (x) - 1 + cos (x) = 0, 0 \leq x \leq 2 π

x, arctan (x) = 4 t + c

cos (\frac{π}{3} - x) = 1

2 (cos (t))^{2} - cos (t) - 1 = 0

tan (x) = \frac{6}{15}

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