en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(x/2)=\pm sqrt((1-cos(x))/(1+cos(x)))

Solution

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

Solution

No Solution for x \in R

Solution steps

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

Subtract

\pm \frac{1 - cos ( x )}{1 + cos ( x )}

from both sides

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

General solutions for

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

\frac{x}{2} = 0 + πn

Solve

\frac{x}{2} = 0 + πn : x = 2 πn

x = 2 πn

Since the equation is undefined for:

2 πn

No Solution for x \in R

Popular Examples

sin^2(x)-cos^2(x)=0.5

sin^{2} (x) - cos^{2} (x) = 0.5

sec(x)-tan(x)=1

sec (x) - tan (x) = 1

7cos^2(θ)+6cos(θ)-12=7cos(θ)-6

7 cos^{2} (θ) + 6 cos (θ) - 12 = 7 cos (θ) - 6

sin^2(x)=sin(x)+1-sin^2(x)

sin^{2} (x) = sin (x) + 1 - sin^{2} (x)

tan^2(x)-3sec(x)+3=0

tan^{2} (x) - 3 sec (x) + 3 = 0

Frequently Asked Questions (FAQ)

What is the general solution for tan(x/2)=\pm sqrt((1-cos(x))/(1+cos(x))) ?
The general solution for tan(x/2)=\pm sqrt((1-cos(x))/(1+cos(x))) is No Solution for x\in\mathbb{R}