What is cos(arctan(t)) ?

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

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simplify cos(arctan(t))

simplify

cos (arctan (t))

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

Solution steps

cos (arctan (t))

Use the following identity:

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

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

9 sin ((n + 2) π) - 9 sin (nπ)

cos (A - 18 0^{\circ})

cos^{4} (8 x + \frac{π}{6}) d x

2 sin (18 0^{\circ} - a)

\frac{cot ( x ) + tan ( π - x )}{2}

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