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

The general solution for tan(x/4)=-sqrt(3) is x=(8pi)/3+4pin

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tan(x/4)=-sqrt(3)

tan (\frac{x}{4}) = - 3

x = \frac{8 π}{3} + 4 πn

Solution steps

tan (\frac{x}{4}) = - 3

General solutions for

tan (\frac{x}{4}) = - 3

\frac{x}{4} = \frac{2 π}{3} + πn

Solve

\frac{x}{4} = \frac{2 π}{3} + πn : x = \frac{8 π}{3} + 4 πn

x = \frac{8 π}{3} + 4 πn

8 sin^{2} (x) - 2 sin (x) - 1 = 0, - \frac{π}{2} < x < \frac{π}{2}

cos (4 x) - cos (3 x) = 0

2 cos^{2} (A) + cos (A) - 1 = 0

tan^{3} (x) = tan (x), 0 \leq x \leq 2 π

sin (x^{2} + 3 x + 5) = 0

What is the general solution for tan(x/4)=-sqrt(3) ?
The general solution for tan(x/4)=-sqrt(3) is x=(8pi)/3+4pin