What is (csc(x)+cot(x))(1-cos(x)) ?

The solution to (csc(x)+cot(x))(1-cos(x)) is sin(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (csc(x)+cot(x))(1-cos(x))

simplify

(csc (x) + cot (x)) (1 - cos (x))

sin (x)

Solution steps

(csc (x) + cot (x)) (1 - cos (x))

Express with sin, cos

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

Expand

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

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

Rewrite using trig identities

= sin (x)

(x^{2} - 2 x)^{2} - 2 (x^{2} - 2 x)

\frac{1}{6} + 4

a^{2} \cdot 2 a

(3 x + 1) (2 x + 3)

\frac{6 - 2 i}{4 + i}

What is (csc(x)+cot(x))(1-cos(x)) ?
The solution to (csc(x)+cot(x))(1-cos(x)) is sin(x)