Use a calculator to find the value. Give answers as real numbers and round to 4 decimal places, if necessary.
-$\sin ( \arctan 2 )$

Question

Quizplus · Accepted Answer

The value of $\sin ( \arctan 2 )$ can be found by considering a right triangle where the opposite side is 2 and the adjacent side is 1 (from the definition of $\tan \theta = \frac{\text{opposite}}{\text{adjacent}}$). The hypotenuse is $\sqrt{1^2 + 2^2} = \sqrt{5}$. Thus, $\sin(\arctan 2) = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{2}{\sqrt{5}}$, which when rounded to four decimal places is approximately $0.8944$.

Use a Calculator to Find the Value sin⁡(arctan⁡2)\sin ( \arctan 2 )sin(arctan2)

Use a Calculator to Find the Value $\sin ( \arctan 2 )$