What is (1-(cos(x))^2)((cot(x))^2+1) ?

The solution to (1-(cos(x))^2)((cot(x))^2+1) is 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1-(cos(x))^2)((cot(x))^2+1)

simplify

(1 - (cos (x))^{2}) ((cot (x))^{2} + 1)

1

Solution steps

(1 - cos^{2} (x)) (cot^{2} (x) + 1)

Express with sin, cos

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

Rewrite using trig identities

= 1

(- \frac{3}{4})^{- 3}

(x^{3} - x^{2} + x) (x^{2} - 1)

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

\frac{( q ^{- 1} + q ^{3} ) ^{2}}{q ^{- 3}}

What is (1-(cos(x))^2)((cot(x))^2+1) ?
The solution to (1-(cos(x))^2)((cot(x))^2+1) is 1