What is sin(arctan(θ)) ?

The solution to sin(arctan(θ)) is (θsqrt(1+θ^2))/(1+θ^2)

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simplify sin(arctan(θ))

simplify

sin (arctan (θ))

\frac{θ 1 + θ ^{2}}{1 + θ ^{2}}

Solution steps

sin (arctan (θ))

Use the following identity:

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

= \frac{θ 1 + θ ^{2}}{1 + θ ^{2}}

cot (π + x)

sin (arcsin (x) + \frac{π}{6})

csc (\frac{π}{2} - x)

9 sin^{2} (- 16 cos^{2} (x))

tan (27 0^{\circ} + B)

What is sin(arctan(θ)) ?
The solution to sin(arctan(θ)) is (θsqrt(1+θ^2))/(1+θ^2)