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

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

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3tan(x/2)+3=0

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

x = \frac{3 π}{2} + 2 πn

Solution steps

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

Move

3

to the right side

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

Divide both sides by

3

tan (\frac{x}{2}) = - 1

General solutions for

tan (\frac{x}{2}) = - 1

\frac{x}{2} = \frac{3 π}{4} + πn

Solve

\frac{x}{2} = \frac{3 π}{4} + πn : x = \frac{3 π}{2} + 2 πn

x = \frac{3 π}{2} + 2 πn

4 cos (x) tan (x) = 5 tan (x)

4 cos^{2} (2 x) - 1 = 0

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

2 sin (x) - csc (x) = 1

2 cos^{2} (x) + 3 cos (x) = 0

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