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Problem 3.39
Find each exact function value.
csc ( ―11π/6)
Problem 3.41
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
Problem 3.41
Find a calculator approximation to four decimal places for each circular function value. See Example 3.
sec 2.8440
Problem 3.41
Without using a calculator, determine which of the two values is greater.
tan 1 or tan 2
Problem 3.43
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)
Problem 3.43
Find a calculator approximation to four decimal places for each circular function value. See Example 3.
cot 6.0301
Problem 3.43
Without using a calculator, determine which of the two values is greater.
cos 2 or sin 2
Problem 3.45
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
Problem 3.45
Find a calculator approximation to four decimal places for each circular function value.
sin 1.0472
Problem 3.47
Find a calculator approximation to four decimal places for each circular function value. cos (-0.2443)
Problem 3.49
Find a calculator approximation to four decimal places for each circular function value.
sec 7.3159
Problem 3.51
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
Problem 3.53
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.
Problem 3.53
Find the approximate value of s, to four decimal places, in the interval [0, π/2] that makes each statement true.
sin s = 0.4924
Problem 3.55
The propeller of a 90-horsepower outboard motor at full throttle rotates at exactly 5000 revolutions per min. Find the angular speed of the propeller in radians per second.
Problem 3.55
Without using a calculator, decide whether each function value is positive or negative. (Hint: Consider the radian measures of the quadrantal angles, and remember that π ≈ 3.14.)
cos 2
Problem 3.55
Find the approximate value of s, to four decimal places, in the interval [0, π/2] that makes each statement true.
cot s = 0.5022
Problem 3.56
Without using a calculator, decide whether each function value is positive or negative. (Hint: Consider the radian measures of the quadrantal angles, and remember that π ≈ 3.14.)
sin ( ―1)
Problem 3.57
Without using a calculator, decide whether each function value is positive or negative. (Hint: Consider the radian measures of the quadrantal angles, and remember that π ≈ 3.14.)
sin 5
Problem 3.57
Find the exact value of s in the given interval that has the given circular function value.
[ 0, π/2] ; cos s = √2/2
Problem 3.58
Without using a calculator, decide whether each function value is positive or negative. (Hint: Consider the radian measures of the quadrantal angles, and remember that π ≈ 3.14.)
cos 6
Problem 3.59
Without using a calculator, decide whether each function value is positive or negative. (Hint: Consider the radian measures of the quadrantal angles, and remember that π ≈ 3.14.)
tan 6.29
Problem 3.59
Find the exact value of s in the given interval that has the given circular function value.
[ π , 3π/2] ; sec s = ―2√3/3
Problem 3.61
Find the approximate value of s, to four decimal places, in the interval [0, π/2] that makes each statement true.
tan s = 0.2126
Problem 3.62
Find the approximate value of s, to four decimal places, in the interval [0, π/2] that makes each statement true.
cos s = 0.7826
Problem 3.63
Find the approximate value of s, to four decimal places, in the interval [0, π/2] that makes each statement true.
sin s = 0.9918
Problem 3.65
Find the approximate value of s, to four decimal places, in the interval [0 , π/2] that makes each statement true.
sec s = 1.0806
Problem 3.67
Find the exact value of s in the given interval that has the given circular function value.
[π/2, π] ; sin s = 1/2
Problem 3.69
Find the exact value of s in the given interval that has the given circular function value.
[π, 3π/2] ; tan s = √3
Problem 3.7
Each figure shows an angle θ in standard position with its terminal side intersecting the unit circle. Evaluate the six circular function values of θ.
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