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.
