What is the general solution for tan(x/4)+sqrt(3)=0,0<= x<= 2pi ?

The general solution for tan(x/4)+sqrt(3)=0,0<= x<= 2pi is No Solution for x\in\mathbb{R}

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tan(x/4)+sqrt(3)=0,0<= x<= 2pi

tan (\frac{x}{4}) + 3 = 0, 0 \leq x \leq 2 π

No Solution for x \in R

Solution steps

tan (\frac{x}{4}) + 3 = 0, 0 \leq x \leq 2 π

Move

3

to the right side

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

Solutions for the range

0 \leq x \leq 2 π

No Solution for x \in R

cot^{(2)} (x) - csc (x) - 1 = 0

4 sin (x) + 1 = 3 csc (x)

cos^{2} (x) - 3 sin (x) = 0

csc (t) = \frac{1}{- \frac{2}{2}}

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

What is the general solution for tan(x/4)+sqrt(3)=0,0<= x<= 2pi ?
The general solution for tan(x/4)+sqrt(3)=0,0<= x<= 2pi is No Solution for x\in\mathbb{R}