What is expand (sec^2(pix)-1)^3 ?

The solution to expand (sec^2(pix)-1)^3 is tan^6(pix)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (sec^2(pix)-1)^3

expand

(sec^{2} (π x) - 1)^{3}

tan^{6} (π x)

Solution steps

(sec^{2} (π x) - 1)^{3}

Use the Pythagorean identity:

sec^{2} (x) = tan^{2} (x) + 1

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

= (tan^{2} (π x))^{3}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= tan^{2 \cdot 3} (π x)

Multiply the numbers:

2 \cdot 3 = 6

= tan^{6} (π x)

\frac{( 4 + x ^{2} ) ^{3}}{6}

\frac{2}{( s + 1 ) ( s + 2 ) ^{2}}

\frac{( x - 2 ) ( x - 3 )}{12}

(- 2, 4) y (3, - 3)

\frac{1}{( x + 3 ) ^{3}}

What is expand (sec^2(pix)-1)^3 ?
The solution to expand (sec^2(pix)-1)^3 is tan^6(pix)