Is cot(x)=(sin(2x))/(1-cos(2x)) ?

The answer to whether cot(x)=(sin(2x))/(1-cos(2x)) is True

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

prove cot(x)=(sin(2x))/(1-cos(2x))

prove

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

True

Solution steps

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

Manipulating right side

\frac{sin ( 2 x )}{1 - cos ( 2 x )}

Rewrite using trig identities

= \frac{cos ( x )}{sin ( x )}

Use the basic trigonometric identity:

\frac{cos ( x )}{sin ( x )} = cot (x)

= cot (x)

We showed that the two sides could take the same form

\Rightarrow True

tan (- \frac{5 π}{6})

tan (\frac{5 π}{8})

sin (10 0^{\circ})

sec (6 0^{\circ})

tan (27 0^{\circ})

Is cot(x)=(sin(2x))/(1-cos(2x)) ?
The answer to whether cot(x)=(sin(2x))/(1-cos(2x)) is True