# 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.