What is sin(arctan(x 1/3)) ?

The solution to sin(arctan(x 1/3)) is (xsqrt(9+x^2))/(9+x^2)

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simplify sin(arctan(x 1/3))

simplify

sin (arctan (x \frac{1}{3}))

\frac{x 9 + x ^{2}}{9 + x ^{2}}

Solution steps

sin (arctan (x \frac{1}{3}))

Use the following identity:

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

= \frac{x \frac{1}{3} 1 + ( x \frac{1}{3} ) ^{2}}{1 + ( x \frac{1}{3} ) ^{2}}

Simplify

= \frac{x 9 + x ^{2}}{9 + x ^{2}}

x + 9 cos (x + π)

tan (x + 18 0^{\circ})

cos (\frac{( - n p i )}{2})

sin (2 π - arccos (w))

cos (α - 3 0^{\circ})

What is sin(arctan(x 1/3)) ?
The solution to sin(arctan(x 1/3)) is (xsqrt(9+x^2))/(9+x^2)