What is ((sin^2(x))/(cos(x)))^2 ?

The solution to ((sin^2(x))/(cos(x)))^2 is sin^4(x)sec^2(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((sin^2(x))/(cos(x)))^2

simplify

(\frac{sin ^{2} ( x )}{cos ( x )})^{2}

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

Solution steps

(\frac{sin ^{2} ( x )}{cos ( x )})^{2}

Apply exponent rule:

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

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

Simplify

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

= \frac{sin ^{4} ( x )}{cos ^{2} ( x )}

Use the basic trigonometric identity:

\frac{1}{cos ( x )} = sec (x)

= sin^{4} (x) sec^{2} (x)

12 y + 24 x

(3 x + 6)^{3}

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

n^{9} + 1

100 x^{4} - 16

What is ((sin^2(x))/(cos(x)))^2 ?
The solution to ((sin^2(x))/(cos(x)))^2 is sin^4(x)sec^2(x)