91Ó°ÊÓ

Use a calculator to evaluate the trigonometric functions for the indicated angle values. Round your answers to four decimal places. $$\cot \left(\frac{3 \pi}{5}\right)$$

Find the area of each triangle with measures given. $$a=9, b=40, c=41$$

Evaluate each expression, if possible. $$\sin \left(-\frac{5 \pi}{2}\right)+\csc \left(\frac{3 \pi}{2}\right)$$

Find the area of each triangle with measures given. $$a=6, b=10, c=9$$

Two lifeguard chairs, labeled \(P\) and \(Q\) are located 400 feet apart. A troubled swimmer is spotted by both lifeguards. If the lifeguard at \(P\) reports the swimmer at angle \(35^{\circ}\) (with respect to the line segment connecting \(P\) and \(Q\) ) and the lifeguard at \(Q\) reports the swimmer at angle \(41^{\circ}\) how far is the swimmer from \(P ?\)

Evaluate each expression, if possible. $$\csc \left(-\frac{7 \pi}{2}\right)-\cot \left(\frac{7 \pi}{2}\right)$$

Use a calculator to evaluate the trigonometric functions for the indicated angle values. Round your answers to four decimal places. $$\csc \left(\frac{10 \pi}{19}\right)$$

Convert from radians to degrees. Round your answers to the nearest hundredth of a degree. 4.

Find the area of each triangle with measures given. $$a=40, b=50, c=60$$

Use a calculator to evaluate the trigonometric functions for the indicated angle values. Round your answers to four decimal places. $$\sec \left(\frac{4 \pi}{9}\right)$$