3. Unit Circle

Find the linear speed v for each of the following.

the tip of the minute hand of a clock, if the hand is 7 cm long

Find a calculator approximation to four decimal places for each circular function value. See Example 3. csc (―9.4946)

Find each exact function value.

csc ( ―11π/6)

Find the linear speed v for each of the following.

a point on the edge of a flywheel of radius 2 m, rotating 42 times per min

Find a calculator approximation to four decimal places for each circular function value. See Example 3.

sec 2.8440

Without using a calculator, determine which of the two values is greater.

tan 1 or tan 2

Find the linear speed v for each of the following.

the tip of a propeller 3 m long, rotating 500 times per min (Hint: r = 1.5 m)

Find a calculator approximation to four decimal places for each circular function value. See Example 3.

cot 6.0301

Without using a calculator, determine which of the two values is greater.

cos 2 or sin 2

Find the linear speed v for each of the following.

a point on the equator moving due to Earth's rotation, if the radius is 3960 mi

Find a calculator approximation to four decimal places for each circular function value.

sin 1.0472

Find a calculator approximation to four decimal places for each circular function value. cos (-0.2443)

Find a calculator approximation to four decimal places for each circular function value.

sec 7.3159

Find the approximate value of s, to four decimal places, in the interval [0, π/2] that makes each statement true.

cos s = 0.9250

A thread is being pulled off a spool at the rate of 59.4 cm per sec. Find the radius of the spool if it makes 152 revolutions per min.