What is the general solution for tan(x/7)+sqrt(3)=0 ?

The general solution for tan(x/7)+sqrt(3)=0 is x=(14pi)/3+7pin

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tan(x/7)+sqrt(3)=0

tan (\frac{x}{7}) + 3 = 0

x = \frac{14 π}{3} + 7 πn

Solution steps

tan (\frac{x}{7}) + 3 = 0

Move

3

to the right side

tan (\frac{x}{7}) = - 3

General solutions for

tan (\frac{x}{7}) = - 3

\frac{x}{7} = \frac{2 π}{3} + πn

Solve

\frac{x}{7} = \frac{2 π}{3} + πn : x = \frac{14 π}{3} + 7 πn

x = \frac{14 π}{3} + 7 πn

3 (tan (θ) - 2) = 2 tan (θ) - 7

3 tan (θ) + 1 = 0, 0 \leq θ \leq 2 π

tan (x) = tan^{2} (x)

y, sin (x y) = x

tan (x) sec (x) = tan (x)

What is the general solution for tan(x/7)+sqrt(3)=0 ?
The general solution for tan(x/7)+sqrt(3)=0 is x=(14pi)/3+7pin