What is the general solution for tan(5x)+sqrt(3)=0 ?

The general solution for tan(5x)+sqrt(3)=0 is x=(2pi}{15}+\frac{pin)/5

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tan(5x)+sqrt(3)=0

tan (5 x) + 3 = 0

x = \frac{2 π}{15} + \frac{πn}{5}

Solution steps

tan (5 x) + 3 = 0

Move

3

to the right side

tan (5 x) = - 3

General solutions for

tan (5 x) = - 3

5 x = \frac{2 π}{3} + πn

Solve

5 x = \frac{2 π}{3} + πn : x = \frac{2 π}{15} + \frac{πn}{5}

x = \frac{2 π}{15} + \frac{πn}{5}

2 tan (x) sin (x) - 7 sin (x) = 0

sin^{2} (x) + sin (x) = 2

- 3 sin^{2} (θ) + 3 = - 10 cos (θ) - 3

cos (2 x) + 2 sin (x) = 1

cot (3 x) = \frac{3}{3}

What is the general solution for tan(5x)+sqrt(3)=0 ?
The general solution for tan(5x)+sqrt(3)=0 is x=(2pi}{15}+\frac{pin)/5