1. Measuring Angles

Find two angles in the interval [0°, 360°) that satisfy each of the following. Round answers to the nearest degree.tan θ = 1.3763819

Determine whether each statement is true or false. If false, tell why. Use a calculator for Exercises 39 and 42.1 tan² 60° = sec² 60°

Determine whether each statement is true or false. If false, tell why. Use a calculator for Exercises 39 and 42.sin 42° + sin 42° = sin 84°

In Exercises 57–70, find a positive angle less than or that is coterminal with the given angle.- 38𝜋9

Solve each problem. See Example 6. Rotating Airplane Propeller An airplane propeller rotates 1000 times per min. Find the number of degrees that a point on the edge of the propeller will rotate in 2 sec.

Convert decimal degrees to degrees, minutes, seconds, and convert degrees, minutes, seconds to decimal degrees. If applicable, round to the nearest second or the nearest thousandth of a degree. 47° 25' 11"