What is (sqrt(1+tan^2(x)))/(sqrt(sec^2(x)-1)) ?

The solution to (sqrt(1+tan^2(x)))/(sqrt(sec^2(x)-1)) is sqrt((tan^2(x)+1)/(sec^2(x)-1))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sqrt(1+tan^2(x)))/(sqrt(sec^2(x)-1))

simplify

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

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

Solution steps

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

Apply radical rule:

\frac{a}{b} = \frac{a}{b}

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

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

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

(\frac{0. 2 ^{5}}{5}) \cdot 4 π \cdot 9 \cdot π \cdot 1 0^{- 9} \cdot \frac{2}{3}

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

x^{2} (x - 1)^{2} (x + 4)

0.99 \cdot e^{- 18.71}

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