91Ó°ÊÓ

The terminal side of \(\boldsymbol{\theta}\) lies on the given line in the specified quadrant. Find the values of the six trigonometric functions of \(\boldsymbol{\theta}\) by finding a point on the line. y=-x, II

Find (if possible) the complement and supplement of each angle. (a) 3 (b) 1.5

An airplane flying at 600 miles per hour has a bearing of \(52^{\circ}\). After flying for 1.5 hours, how far north and how far east will the plane have traveled from its point of departure?

A ship leaves port at noon and has a bearing of \(\mathrm{S} 29^{\circ} \mathrm{W}\). The ship sails at \(20 \mathrm{knots}\). (a) How many nautical miles south and how many nautical miles west will the ship have traveled by 6: 00 P.M.? (b) At 6: 00 P.M., the ship changes course to due west. Find the ship's bearing and distance from the port of departure at 7:00 P.M.

Use a calculator to evaluate the expression. Round your result to two decimal places. $$ \tan ^{-1}(-\sqrt{372}) $$

Evaluate the trigonometric function of the quadrant angle. $$ \sin \frac{\pi}{2} $$

Determine the quadrant in which each angle lies. (a) \(-260^{\circ}\) (b) \(-3.4^{\circ}\)

Sketch the graph of the function. (Include two full periods.) $$ y=-10 \cos \frac{\pi x}{6} $$

Use a calculator to evaluate each function. Round your answers to four decimal places. (Be sure the calculator is in the correct angle mode.) (a) \(\sin 16.35^{\circ}\) (b) \(\csc 16.35^{\circ}\)

Use a calculator to evaluate each function. Round your answers to four decimal places. (Be sure the calculator is in the correct angle mode.) (a) \(\cos 4^{\circ} 50^{\prime} 15^{\prime \prime}\) (b) \(\sec 4^{\circ} 50^{\prime} 15^{\prime \prime}\)