Determine the signs of the trigonometric functions of an angle in standard position with the given measure. See Example 2.

―15°

Determine the signs of the trigonometric functions of an angle in standard position with the given measure. See Example 2.

―345°

Solve each problem. See Examples 3 and 4. Distance through a Tunnel A tunnel is to be built from point A to point B. Both A and B are visible from C. If AC is 1.4923 mi and BC is 1.0837 mi, and if C is 90°, find the measures of angles A and B.

Identify the quadrant (or possible quadrants) of an angle θ that satisfies the given conditions. See Example 3. cos θ > 0 , sec θ > 0

Give all six trigonometric function values for each angle θ . Rationalize denominators when applicable.

sec θ = ―√5 , and θ is in quadrant II

Give all six trigonometric function values for each angle θ . Rationalize denominators when applicable.

sec θ = 5/4 , and θ is in quadrant IV