# trigonometric function

1. Find the acute angle θ, to the nearest hundredth of a degree and to the nearest 1/100 in radians, for the given function value.

sin θ =0.6428

2. Use the appropriate identity to find the indicated function value. Rationalize the denominator, if applicable. Try to compute it by hand.

if cosec θ = -4 find sin θ, then cos θ,

3. Compute

sin 2θ if cos θ = -2/3 and θ is in quadrant III.

4. Find

cot θ if tan θ = and θ is in quadrant III.

5. Without using a calculator, give the exact trigonometric function values with rational denominators.

tan 60°

6. Without using a calculator, give the exact trigonometric function values with rational denominators.

sin 45°

7. Without using a calculator, give the exact trigonometric function values with rational denominators.

sec 270°

8. Find the exact circular function value.

tan 5π/6

9. Find the trigonometric function value of angle θ.

sin θ = 5/13 and θ in quadrant II

Find sec θ and csc θ

10. Solve the problem.

What radius corresponds to an arc length of 10 ft and a central angle of 35 °? Round to the nearest hundredth of a foot.