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Problem 3.11
Use the formula ω = θ/t to find the value of the missing variable.
ω = 2π/3 radians per sec, t = 3 sec
Problem 3.11
Find the exact values of (a) sin s, (b) cos s, and (c) tan s for each real number s. See Example 1.
s = π/2
Problem 3.13
Use the formula ω = θ/t to find the value of the missing variable.
ω = 0.91 radian per min, t = 8.1 min
Problem 3.13
Find the exact values of (a) sin s, (b) cos s, and (c) tan s for each real number s. See Example 1.
s = 2π
Problem 3.15
Use the formula ω = θ/t to find the value of the missing variable.
θ = 3π/4 radians, t = 8 sec
Problem 3.15
Find the exact values of (a) sin s, (b) cos s, and (c) tan s for each real number s. See Example 1.
s = ―π
Problem 3.17
Find each exact function value. See Example 2. sin 7π/6
Problem 3.19
Use the formula ω = θ/t to find the value of the missing variable.
θ = 2π/9 radian , ω = 5π/27 radian per min
Problem 3.19
Find each exact function value. See Example 2.
tan 3π/4
Problem 3.21
Use the formula v = r ω to find the value of the missing variable.
r = 12 m , ω = 2π/3 radians per sec
Problem 3.21
Find each exact function value. See Example 2.
csc 11π/6
Problem 3.23
Use the formula v = r ω to find the value of the missing variable.
v = 9 m per sec , r = 5 m
Problem 3.23
Find each exact function value. See Example 2. cos (―4π/3)
Problem 3.25
Use the formula v = r ω to find the value of the missing variable.
v = 12 m per sec, ω = 3π/2 radians per sec
Problem 3.25
Find each exact function value. See Example 2.
cos 7π/4
Problem 3.27
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.
r = 6 cm, ω = π/3 radians per sec, t = 9 sec
Problem 3.27
Find each exact function value. See Example 2.
sin (4π/3)
Problem 3.29
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 = 6π cm, r = 2 cm, ω = π/4 radian per sec
Problem 3.29
Find each exact function value. See Example 2.
sec 23π/6
Problem 3.31
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
Problem 3.31
Find each exact function value. See Example 2.
tan 5π/6
Problem 3.33
Find a calculator approximation to four decimal places for each circular function value. See Example 3. sin 0.6109
Problem 3.35
Find a calculator approximation to four decimal places for each circular function value. See Example 3. cos (-1.1519)
Problem 3.35
Find each exact function value.
tan π/3
Problem 3.36
Find the angular speed ω for each of the following.
a gear revolving 300 times per min
Problem 3.37
Find the angular speed ω for each of the following.
a wind turbine with blades turning at a rate of 15 revolutions per minute
Problem 3.37
Find a calculator approximation to four decimal places for each circular function value. See Example 3. tan 4.0203
Problem 3.37
Find each exact function value.
sin ( ―5π/6)
Problem 3.39
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
Problem 3.39
Find a calculator approximation to four decimal places for each circular function value. See Example 3. csc (―9.4946)