Quick Crisp Review

• Radian

• Coterminal Angles

• Complementary and Supplementary

You will be able to solve problems using trig terminology including calculating arc length.

Coterminal Angles: Add or subtract 360 if in degrees.

Add or subtract 2π if in radians.

Determine which quadrant the angles lie and then determine two angles (positive and negative) that are coterminal to the given angle.

a) 112° b) 768°

c) d)

7

512

Complementary: Two angles that add to 90° or π/2 radians.

Supplementary: Two angles that add to 180° or π radians.

Radians to Degrees

Degrees to Radians

Determine a complementary angle and a supplementary angle to the following.a) b)

4

7

2

Convert each measure to either radians as a multiple of π or degrees.

c) 62° d) e) 1.2

2

5

DMS: Degrees Minutes Seconds.

There are 60 seconds in a minute and 60 minutes in a degree.

Convert to DMS

a) 27.63 b) 42.18

Convert to Decimal Degrees

c) 18°14’12” d) 118°23”

All Formulas: Angles must be in radians.

Arc Length: s = rθ

Angular Speed: θ/t

Determine the arc length of the following.

a) Central angle: 65° and a radius of 8 inches.

b) Determine the angular speed of an object that rotates 842° in 3 seconds.