What is csc^2(x)(1-sec^2(x)) ?

The solution to csc^2(x)(1-sec^2(x)) is -sec^2(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify csc^2(x)(1-sec^2(x))

simplify

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

- sec^{2} (x)

Solution steps

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

Express with sin, cos

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

Rewrite using trig identities

= - sec^{2} (x)

\frac{1}{4} + \frac{2}{8}

sin^{2} (x) - sin^{4} (x)

3 x^{2} - 27 y^{2}

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

What is csc^2(x)(1-sec^2(x)) ?
The solution to csc^2(x)(1-sec^2(x)) is -sec^2(x)