What is sin(arctan(v/6)) ?

The solution to sin(arctan(v/6)) is (vsqrt(36+v^2))/(36+v^2)

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simplify sin(arctan(v/6))

simplify

sin (arctan (\frac{v}{6}))

\frac{v 36 + v ^{2}}{36 + v ^{2}}

Solution steps

sin (arctan (\frac{v}{6}))

Use the following identity:

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

= \frac{( \frac{v}{6} ) 1 + ( \frac{v}{6} ) ^{2}}{1 + ( \frac{v}{6} ) ^{2}}

Simplify

= \frac{v 36 + v ^{2}}{36 + v ^{2}}

cos (a - π)

cos (\frac{x}{2} + 0.1)

sin (4 x + \frac{π}{3})

cos (x + π) + 1

sin (v + 36 0^{\circ})

What is sin(arctan(v/6)) ?
The solution to sin(arctan(v/6)) is (vsqrt(36+v^2))/(36+v^2)