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

The general solution for tan((2x)/3)+sqrt(3)=0 is x=pi+(3pin)/2

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tan((2x)/3)+sqrt(3)=0

tan (\frac{2 x}{3}) + 3 = 0

x = π + \frac{3 πn}{2}

Solution steps

tan (\frac{2 x}{3}) + 3 = 0

Move

3

to the right side

tan (\frac{2 x}{3}) = - 3

General solutions for

tan (\frac{2 x}{3}) = - 3

\frac{2 x}{3} = \frac{2 π}{3} + πn

Solve

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

x = π + \frac{3 πn}{2}

cos (x + \frac{3 π}{4}) - cos (x - \frac{3 π}{4}) = 0

tan (x) = \frac{50}{100}

sin (- x) = 0

cos (x) = \frac{4}{6}

2 cot^{2} (x) - 5 = sec^{2} (x) - tan^{2} (x)

What is the general solution for tan((2x)/3)+sqrt(3)=0 ?
The general solution for tan((2x)/3)+sqrt(3)=0 is x=pi+(3pin)/2