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 over the adjacent side (the definition of tangent) equals 2. This forms a triangle with sides of lengths 2 (opposite), 1 (adjacent), and $\sqrt{5}$ (hypotenuse, found using the Pythagorean theorem). Therefore, $\sin ( \arctan 2 ) = \frac{opposite}{hypotenuse} = \frac{2}{\sqrt{5}}$, which when calculated gives 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 $\sin ( \arctan 2 )$