What is the general solution for tan(A/2)=sqrt(0.62) ?

The general solution for tan(A/2)=sqrt(0.62) is A=2*0.66701…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

tan(A/2)=sqrt(0.62)

tan (\frac{A}{2}) = 0.62

A = 2 \cdot 0.66701 \dots + 2 πn

Degrees

A = 76.43384 \dots^{\circ} + 36 0^{\circ} n

Solution steps

tan (\frac{A}{2}) = 0.62

Apply trig inverse properties

tan (\frac{A}{2}) = 0.62

General solutions for

tan (\frac{A}{2}) = 0.62

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

\frac{A}{2} = arctan (0.62) + πn

\frac{A}{2} = arctan (0.62) + πn

Solve

\frac{A}{2} = arctan (0.62) + πn : A = 2 arctan (0.62) + 2 πn

\frac{A}{2} = arctan (0.62) + πn

Multiply both sides by

2

\frac{A}{2} = arctan (0.62) + πn

Multiply both sides by

2

\frac{2 A}{2} = 2 arctan (0.62) + 2 πn

Simplify

A = 2 arctan (0.62) + 2 πn

A = 2 arctan (0.62) + 2 πn

A = 2 arctan (0.62) + 2 πn

Show solutions in decimal form

A = 2 \cdot 0.66701 \dots + 2 πn

What is the general solution for tan(A/2)=sqrt(0.62) ?
The general solution for tan(A/2)=sqrt(0.62) is A=2*0.66701…+2pin