What is cos(arctan(a)) ?

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

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simplify cos(arctan(a))

simplify

cos (arctan (a))

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

Solution steps

cos (arctan (a))

Use the following identity:

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

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

2 sin (\frac{π}{3} + 2 πn)

cot (θ - π)

tan (a - \frac{π}{2})

a r tan (\frac{498}{- 492})

e^{l n (\frac{1}{c o s ( x )}) + c}

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