The formula ω = θ/t can be rewritten as θ = ωt. Substituting ωt for θ converts s = rθ to s = rωt. Use the formula s = rωt to find the value of the missing variable.

s = 3π/4 km, r = 2 km, t = 4 sec

Find the angular speed ω for each of the following.

a gear revolving 300 times per min

Find the angular speed ω for each of the following.

a wind turbine with blades turning at a rate of 15 revolutions per minute

In Exercises 31–38, find a cofunction with the same value as the given expression. sin 7°

In Exercises 31–38, find a cofunction with the same value as the given expression. tan 𝜋 9

In Exercises 31–38, find a cofunction with the same value as the given expression. cos 2𝜋 5

In Exercises 41–43, find the exact value of each of the remaining trigonometric functions of θ.

cos θ = 2/5, sin θ < 0

CONCEPT PREVIEW Match each trigonometric function in Column I with its value in Column II. Choices may be used once, more than once, or not at all.

csc 60°