What is the general solution for tan(x/2)=4 ?

The general solution for tan(x/2)=4 is x=2*1.32581…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

tan(x/2)=4

tan (\frac{x}{2}) = 4

x = 2 \cdot 1.32581 \dots + 2 πn

Degrees

x = 151.92751 \dots^{\circ} + 36 0^{\circ} n

Solution steps

tan (\frac{x}{2}) = 4

Apply trig inverse properties

tan (\frac{x}{2}) = 4

General solutions for

tan (\frac{x}{2}) = 4

tan (x) = a \Rightarrow x = arctan (a) + πn

\frac{x}{2} = arctan (4) + πn

\frac{x}{2} = arctan (4) + πn

Solve

\frac{x}{2} = arctan (4) + πn : x = 2 arctan (4) + 2 πn

\frac{x}{2} = arctan (4) + πn

Multiply both sides by

2

\frac{x}{2} = arctan (4) + πn

Multiply both sides by

2

\frac{2 x}{2} = 2 arctan (4) + 2 πn

Simplify

x = 2 arctan (4) + 2 πn

x = 2 arctan (4) + 2 πn

x = 2 arctan (4) + 2 πn

Show solutions in decimal form

x = 2 \cdot 1.32581 \dots + 2 πn

What is the general solution for tan(x/2)=4 ?
The general solution for tan(x/2)=4 is x=2*1.32581…+2pin