What is cos(arctan(y)) ?

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

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simplify cos(arctan(y))

simplify

cos (arctan (y))

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

Solution steps

cos (arctan (y))

Use the following identity:

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

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

1 + tan^{2} (9 0^{\circ} - x)

tan (\frac{π}{3} + x)

csc (arcsin (u))

sin (2 x) - sin (- 2 x)

42 cos (π x - \frac{π}{4})

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