Questions: Use a calculator in degree or radian mode, as appropriate, to evaluate each expression. Round your answer to five decimal places. (a) csc(15°) (b) sin(3.7)

Use a calculator in degree or radian mode, as appropriate, to evaluate each expression. Round your answer to five decimal places.
(a) csc(15°)

(b) sin(3.7)

Transcript text: Use a calculator in degree or radian mode, as appropriate, to evaluate each expression. Round your answer to five decimal places. (a) $\csc \left(15^{\circ}\right)$ $\square$ (b) $\sin (3.7)$ $\square$ Need Help? Read It

Solution

Solution Steps

Step 1: Evaluate $\csc(15^\circ)$

The cosecant function is the reciprocal of the sine function: $\csc(\theta) = \frac{1}{\sin(\theta)}$.
Calculate $\sin(15^\circ)$ using a calculator in degree mode.
Take the reciprocal of the result to find $\csc(15^\circ)$.
Round the final answer to five decimal places.

Step 2: Evaluate $\sin(3.7)$