What is expand (cos^2(x))/(sec^2(x)(tan^2(x)-1)) ?

The solution to expand (cos^2(x))/(sec^2(x)(tan^2(x)-1)) is (cos^2(x))/(-1+tan^4(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (cos^2(x))/(sec^2(x)(tan^2(x)-1))

expand

\frac{cos ^{2} ( x )}{sec ^{2} ( x ) ( tan ^{2} ( x ) - 1 )}

\frac{cos ^{2} ( x )}{- 1 + tan ^{4} ( x )}

Solution steps

\frac{cos ^{2} ( x )}{sec ^{2} ( x ) ( tan ^{2} ( x ) - 1 )}

Expand

sec^{2} (x) (tan^{2} (x) - 1) : sec^{2} (x) tan^{2} (x) - sec^{2} (x)

= \frac{cos ^{2} ( x )}{sec ^{2} ( x ) tan ^{2} ( x ) - sec ^{2} ( x )}

Simplify

sec^{2} (x) tan^{2} (x) - sec^{2} (x) : tan^{4} (x) - 1

= \frac{cos ^{2} ( x )}{- 1 + tan ^{4} ( x )}

e^{i (2 t + \frac{π}{4})}

(L^{\frac{1}{2}} + K^{\frac{1}{2}})^{2}

- \frac{4}{( e ^{x} - e ^{- x} ) ^{2}}

(- 8 i + (- 5), 2 j) \cdot (9, 7 i + (- 0), 7 j)

- \frac{2 ( 4 + 79 )}{3}

What is expand (cos^2(x))/(sec^2(x)(tan^2(x)-1)) ?
The solution to expand (cos^2(x))/(sec^2(x)(tan^2(x)-1)) is (cos^2(x))/(-1+tan^4(x))