What is the general solution for tan(x/2)+6=0 ?

The general solution for tan(x/2)+6=0 is x=-2*1.40564…+2pin

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tan(x/2)+6=0

tan (\frac{x}{2}) + 6 = 0

x = - 2 \cdot 1.40564 \dots + 2 πn

Solution steps

tan (\frac{x}{2}) + 6 = 0

Move

6

to the right side

tan (\frac{x}{2}) = - 6

Apply trig inverse properties

\frac{x}{2} = arctan (- 6) + πn

Solve

\frac{x}{2} = arctan (- 6) + πn : x = - 2 arctan (6) + 2 πn

x = - 2 arctan (6) + 2 πn

Show solutions in decimal form

x = - 2 \cdot 1.40564 \dots + 2 πn

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

cos (x) + sin (x) = 2

sin (3 θ) cos (θ) - cos (3 θ) sin (θ) = \frac{3}{2}

tan (x) = 3 cot (x)

2 cos (\frac{1}{2} x) - 1 = 0

What is the general solution for tan(x/2)+6=0 ?
The general solution for tan(x/2)+6=0 is x=-2*1.40564…+2pin