What is cos(arctan(w)) ?

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

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simplify cos(arctan(w))

simplify

cos (arctan (w))

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

Solution steps

cos (arctan (w))

Use the following identity:

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

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

tan (x + 9 0^{\circ})

sin (x - 2 π)

tan (27 0^{\circ} - x)

cos (36 0^{\circ} + x)

- sin (- x)

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