What is sin(arctan(v)) ?

The solution to sin(arctan(v)) is (vsqrt(1+v^2))/(1+v^2)

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simplify sin(arctan(v))

simplify

sin (arctan (v))

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

Solution steps

sin (arctan (v))

Use the following identity:

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

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

csc (arctan (t))

sin (x + \frac{18 0 ^{\circ}}{3})

\frac{d x}{sec ^{2} ( 3 ln ( x ) )}

3 sin (\frac{π}{2} - x)

\frac{1}{cos ^{2} ( y )} d y

What is sin(arctan(v)) ?
The solution to sin(arctan(v)) is (vsqrt(1+v^2))/(1+v^2)