What is sin(arctan(t)) ?

The solution to sin(arctan(t)) is (tsqrt(1+t^2))/(1+t^2)

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simplify sin(arctan(t))

simplify

sin (arctan (t))

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

Solution steps

sin (arctan (t))

Use the following identity:

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

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

sin (t) - sin (- t)

sin (b - b)

a sec (\frac{10.77}{4})

cos (- 3 x^{4} \cdot ln (x))

cos (arcsin (u))

What is sin(arctan(t)) ?
The solution to sin(arctan(t)) is (tsqrt(1+t^2))/(1+t^2)