Sections 4.1 and 4.3 Extra Practice

Determine one positive coterminal angle for pi/6. Give your answer in radians.

• pi/2

• 7pi/8

• 13pi/6

• 10pi/9

Find one negative coterminal angle for -5pi/6. Give your answer in radians.

• -11pi/4

• -17pi/6

• -3pi/4

• -pi/2

Find the supplement of pi/12.

• 10pi/12

• 4pi/5

• pi/2

• 11pi/12

Find the complement of 11pi/12.

• pi/12

• impossible

• pi/5

• 3pi/8

Convert 120 degrees to radians.

• 2pi/3

• pi/2

• 3pi/8

• 9pi/4

Convert 3pi/2 to degrees.

• 10

• 180

• 270

• 35

Find the length of the arc on a circle of radius r = 15 inches intercepted by a central angle theta = 120 degrees.

• 31.42 inches

• 81.96 inches

• 25.46 inches

• 102.71 inches

Find the area of the sector of a circle of radius r = 6 inches, and central angle theta = pi/3

• 90.82 in^2

• 18.85 in^2

• 76.54 in^2

• 29.55 in^2

Sketch a right triangle corresponding to cos theta = 15/17. Find sin theta.

• 15/17

• 8/15

• 17/8

• 8/17

Sketch a right triangle corresponding to sec theta = 6/5. Find tan theta.

• sqrt(11)/6

• sqrt(11)/5

• 5/6

• 6sqrt(11)/11