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

The general solution for tan(x/5)+sqrt(3)=0 is x=(10pi)/3+5pin

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

tan (\frac{x}{5}) + 3 = 0

x = \frac{10 π}{3} + 5 πn

Solution steps

tan (\frac{x}{5}) + 3 = 0

Move

3

to the right side

tan (\frac{x}{5}) = - 3

General solutions for

tan (\frac{x}{5}) = - 3

\frac{x}{5} = \frac{2 π}{3} + πn

Solve

\frac{x}{5} = \frac{2 π}{3} + πn : x = \frac{10 π}{3} + 5 πn

x = \frac{10 π}{3} + 5 πn

cos (2 x) - 2 cos (x) = - 1

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

sin (x) = 0.27

sec (\frac{x}{2}) = cos (\frac{x}{2})

sec^{2} (x) - 2 tan^{2} (x) = 0

What is the general solution for tan(x/5)+sqrt(3)=0 ?
The general solution for tan(x/5)+sqrt(3)=0 is x=(10pi)/3+5pin