Quiz 5-2: Trigonometric Functions

Give the exact values for the trigonometric function of angle θ.

• sin θ = 9/41, csc θ = 41/9, cos θ = 40/41, sec θ = 41/40, tan θ = 9/40, cot θ = 40/9

• sin θ = 40/41, csc θ = 41/40, cos θ = 9/41, sec θ = 41/9, tan θ = 40/9, cot θ = 9/40

• sin θ = 9/40, csc θ = 40/9, cos θ = 41/9, sec θ = 9/41, tan θ = 41/40, cot θ = 40/41

• sin θ = 41/40, csc θ = 40/41, cos θ = 9/41, sec θ = 41/9, tan θ = 9/40, cot θ = 40/9

Give the exact values for the trigonometric function of angle θ.

Solve the triangle below. Round measures to the nearest tenth when necessary.

• QR = 11.9, PR = 15, m∠P = 53°

• QR = 7.2, PR = 10.5, m∠P = 48°

• QR = 6.5, PR = 12.0, m∠P = 60°

• QR = 8.0, PR = 11.0, m∠P = 53°

The angle of elevation from a ball on a football field to the top of a 30-foot tall goal post is 16°42'. How far is the football from the base of the goal post? Round to the nearest tenth of a foot.

• 100 feet

• 52 feet

• 88 feet

• 36 feet

If sin θ < 0 and sec θ < 0, in which quadrant could the terminal side of θ lie?

• Quadrant II

• Quadrant III

• Quadrant IV

• Quadrant I

If csc θ = √6/2, and cot θ < 0, find the exact value of sec θ.

• -√6/√5

• √6/√5

• -√6/2

• 2/√6

tan θ = -3/8, and cos > 0, find the exact value of sin θ.

• sin θ = -3/√73

• sin θ = 3/√73

• sin θ = 8/√73

• sin θ = -8/√73

Give the reference angle for 285°.

• 75°

• 95°

• 105°

• 65°

Give the reference angle for 5π/9.

• Reference angle = 5π/9

• Reference angle = 4π/9

• Reference angle = π/9

• Reference angle = π/3

Give the reference angle for -11π/6.

• π/6

• π/2

• 5π/6

• π/3