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Popular >

simplify cos^2(arctan(x))

Solution

simplify

cos^{2} (arctan (x))

Solution

\frac{1}{x ^{2} + 1}

Solution steps

cos^{2} (arctan (x))

Simplify

cos (arctan (x)) : \frac{1}{x ^{2} + 1}

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

Apply exponent rule:

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

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

1^{2} = 1

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

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

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

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Frequently Asked Questions (FAQ)

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