What is cos(arctan(x)) ?

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

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simplify cos(arctan(x))

simplify

cos (arctan (x))

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

Solution steps

cos (arctan (x))

Use the following identity:

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

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

sec^{2} (5 x)

5

n = 1 \sum \infty n^{2} (\frac{1}{2})^{n}

(y^{2} - x y) d x + x^{2} d y = 0, μ = \frac{1}{x ^{2}}

(2.1) (1.6)

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