What is expand tan^2(θ)(cot^2(θ)-cos^2(θ)) ?

The solution to expand tan^2(θ)(cot^2(θ)-cos^2(θ)) is cot^2(θ)tan^2(θ)-sin^2(θ)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand tan^2(θ)(cot^2(θ)-cos^2(θ))

expand

tan^{2} (θ) (cot^{2} (θ) - cos^{2} (θ))

cot^{2} (θ) tan^{2} (θ) - sin^{2} (θ)

Solution steps

tan^{2} (θ) (cot^{2} (θ) - cos^{2} (θ))

Apply the distributive law:

a (b - c) = ab - a c

tan^{2} (θ) (cot^{2} (θ) - cos^{2} (θ)) = tan^{2} (θ) cot^{2} (θ) - tan^{2} (θ) cos^{2} (θ)

= tan^{2} (θ) cot^{2} (θ) - tan^{2} (θ) cos^{2} (θ)

cos^{2} (θ) tan^{2} (θ) = sin^{2} (θ)

= cot^{2} (θ) tan^{2} (θ) - sin^{2} (θ)

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

\frac{2}{( x - 1 ) ^{3}}

(x - 23) (x + 23)

(- 1 - i)^{7}

(1 + \frac{4 i}{n})^{2}

What is expand tan^2(θ)(cot^2(θ)-cos^2(θ)) ?
The solution to expand tan^2(θ)(cot^2(θ)-cos^2(θ)) is cot^2(θ)tan^2(θ)-sin^2(θ)