What is cos(arctan(u)) ?

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

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simplify cos(arctan(u))

simplify

cos (arctan (u))

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

Solution steps

cos (arctan (u))

Use the following identity:

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

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

4 cos (4 π + x)

\frac{d y}{cos ^{2} ( y )}

1 + tan^{2} (9 0^{\circ} - θ)

sin (\frac{5 π}{2} + 2 α)

1 - cos (2 x)

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