en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sec^2(arctan(x))

Solution

simplify

sec^{2} (arctan (x))

Solution

x^{2} + 1

Solution steps

sec^{2} (arctan (x))

Simplify

sec (arctan (x)) : x^{2} + 1

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

Apply radical rule:

a = a^{\frac{1}{2}}

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

Apply exponent rule:

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

= (x^{2} + 1)^{\frac{1}{2} \cdot 2}

\frac{1}{2} \cdot 2 = 1

= x^{2} + 1

Popular Examples

simplify 1-(1-i)/(1+i)simplify

1 - \frac{1 - i}{1 + i}

simplify (2x+4)/(2x-4)simplify

\frac{2 x + 4}{2 x - 4}

simplify (7a+19)-(a-31)simplify

(7 a + 19) - (a - 31)

simplify (a^n)^m simplify

(a^{n})^{m}

simplify ((a^{-2})^6)/((a^4)^{-3)}simplify

\frac{( a ^{- 2} ) ^{6}}{( a ^{4} ) ^{- 3}}

Frequently Asked Questions (FAQ)

What is sec^2(arctan(x)) ?
The solution to sec^2(arctan(x)) is x^2+1