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

The solution to sin(arctan(x/6)) is (xsqrt(36+x^2))/(36+x^2)

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simplify sin(arctan(x/6))

simplify

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

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

Solution steps

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

Use the following identity:

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

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

Simplify

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

csc (18 0^{\circ} - α)

tan (4 5^{\circ} - \frac{x}{2})

4 + (2 tan (x))^{2}

a r cot (\frac{3}{- 1})

tan (arcsin (\frac{x + 1}{2}))

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