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

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

simplify

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

1

Solution steps

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

Express with sin, cos

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

Rewrite using trig identities

= 1

(3 x - 7) (2 x + 1)

- 12 + 9 - 2 \cdot (- 3^{2})

\frac{\frac{5}{7}}{\frac{3}{7}} + \frac{1}{2} \cdot \frac{8}{3} - \frac{\frac{2}{5}}{\frac{4}{5}}

\frac{3}{5 + 0.15}

\frac{x ^{2} - 1}{x ^{3} + 3 x ^{2} - x - 3}

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