What is the general solution for tan(4x)=-1 ?

The general solution for tan(4x)=-1 is x=(3pi}{16}+\frac{pin)/4

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tan(4x)=-1

tan (4 x) = - 1

x = \frac{3 π}{16} + \frac{πn}{4}

Solution steps

tan (4 x) = - 1

General solutions for

tan (4 x) = - 1

4 x = \frac{3 π}{4} + πn

Solve

4 x = \frac{3 π}{4} + πn : x = \frac{3 π}{16} + \frac{πn}{4}

x = \frac{3 π}{16} + \frac{πn}{4}

3 (1 - cos (3 x)) = sin^{2} (3 x)

sin (2 x) + 3 sin (x) = 0

cos (2 θ) + 10 sin^{2} (θ) = 5

9 sin^{2} (θ) - 4 = 0

sec (x) (2 cos (x) - 2) = 0

What is the general solution for tan(4x)=-1 ?
The general solution for tan(4x)=-1 is x=(3pi}{16}+\frac{pin)/4