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"

Find a value of θ in the interval [0°, 90°) that satisfies each statement. Give answers in decimal degrees to six decimal places. See Example 2.

sec θ = 1.1606249

Find a value of θ in the interval [0°, 90°) that satisfies each statement. Give answers in decimal degrees to six decimal places. See Example 2.

cos θ = 0.85536428

Find a value of θ in the interval [0°, 90°) that satisfies each statement. Give answers in decimal degrees to six decimal places. See Example 2. cot θ = 0.21563481

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.

What is the angular position in radians of the minute hand of a clock at 3:30, measured from the 12 o'clock position in standard position (counterclockwise from the positive $x$-axis)?

If an angle $m1$ in standard position measures $42°$, which of the following best describes its location on the coordinate plane?

Which of the following is a property of an angle in standard position on the coordinate plane?

If angle $\mathrm{COA}$ is in standard position and its terminal side passes through the point (−$1$, $2$), what is the measure of angle $\mathrm{COA}$ to the nearest degree?