Degree and Radian Measure

Problem: 1

Sketch an angle of 135 .

Problem: 3

Sketch an angle of 1260 .

Problem: 5

Sketch an angle of –315 in standard position.

Problem: 7

Sketch 40 + n· 360 in standard position if n = 0, n = 1, n = 2, and n = –1.

Problem: 9

Sketch 30 + n · 180 in standard position if n = 0, n = 1, n = 2, and n = –1.

Problem: 11

Sketch 295 in the standard position. Mention its rotation using a curved arrow. Differentiate the angle by its quadrant. Tell whether the angle is a quadrantal angle.

Problem: 13

Sketch –295 in the standard position. Mention its rotation using a curved arrow. Differentiate the angle by its quadrant. Tell whether the angle is a quadrantal angle.

Problem: 15

Check whether the angles are coterminal or not:

Problem: 17

Find an angle that is coterminal with a 630 angle and which lies between 0 and 360 .

Problem: 19

Find an angle that is coterminal with a –175 angle and which lies between 0 and 360 .

Problem: 21

Determine one positive angle and one negative angle coterminal with 810 .

Problem: 23

Find one positive and one negative angle that are co terminal with the angle

Problem: 25

Draw the angle and find its measure using a protractor given that the terminal side of the angle in standard position passes through (2, 2).

Problem: 27

What is the angle in degrees, made by the hands of a clock at 10:00?

Problem: 29

Refer to Problem 27. Find the angle measure in radians made by the hands of a clock at 10:00.

Problem: 31

Convert 45 to radians. Write the answer as a rational number times π.

Problem: 33

Find the radian measure of 40 in terms of π and as a decimal rounded to the nearest hundredth.

Problem: 35

Find the radian measure of 120 in terms of π and as a decimal rounded to the nearest hundredth.

Problem: 37

Convert ^π/₃ to degrees.

Problem: 39

Find the degree measure of –7 radians rounded to the nearest degree.

Problem: 41

Find the degree measure of 8.65 radians rounded to the nearest degree.

Problem: 43

Express in decimal degrees to the nearest tenth of 68 30 minutes.

Problem: 45

Express in decimal degrees to the nearest hundredth of 50 27minutes 30seconds.

Problem: 47

Express 33.33 in degrees, minutes, and seconds to the nearest second.