Angle Measure
Arc Length & Area
Sine and Cosine
Other Trig Functions
Inverse Trig Functions
100
convert 61 degree 18 minutes 45 seconds to a decimal degree
What is 61.3125 degree
100
Find the arc length of a sector of a circle with a radius of 72 cm and a central angle of 45 degrees. Express your answer to the nearest tenth of a cm.
What is 56.5 cm
100
Explain why sin 270 degrees is -1.
What is On the unit circle, the ordered pair at 270 degrees is (0, -1) and when evaluating sine, we look at the y-value of the ordered pair.
100
Evaluate cot 276 degrees to four significant digits
What is -0.1051
200
Convert 142. 215 degrees to degrees, minutes, and seconds
What is 142 degrees 12 minutes 54 seconds
200
A sector of a circle has a radius of 6.8 km and a central angle of 5 radians. Determine its area.
What is 115.6 sq km
200
An angle lies in Quadrant II and its sine value is 1/9. Determine its cosine value. Keep answer in radical form.
What is (-4 sqrt5) / 9
200
Evaluate tan 3 to four significant digits.
What is -0.1425
200
Without a calculator determine arccos 0. Express answer in radians.
What is pi / 2
300
Convert 330 degrees to radian measure. Express answer in terms of pi.
What is 11pi / 6
300
A wheel with a diameter of 13 in spins at 120 rpm. Find the approximate distance traveled in one minute by a point on the outer edge of the wheel.
What is 4900 inches
300
Find the exact value of cos 240 degrees without the use of a calculator.
What is -1 / 2
300
An angle in the second quadrant has a sine value of 4/5. Find its secant value.
What is -5 / 3
300
Without a calculator determine arcsin (-1/2). Express answer in radians.
What is -pi / 6
400
Convert 4pi / 3 radians to degrees.
What is 240 degrees
400
Mars is 56,000,000 km from Earth and its apparent size is about 0.00012 radians. What is the approximate diameter of Mars?
What is 6720 km
400
Evaluate sin 5pi / 4 without using a calculator.
What is (-sqrt 2) / 2
400
Give all values for which csc x is undefined
What is any multiple of pi
400
Find tan(arccos(-12/13)) without a calculator
What is -5/12
500
Find two angles, one positive and one negative, co-terminal with -pi / 3
What is 5pi / 3, -7pi / 3
500
The city of Pittsburgh, Pennsylvania, is directly north of West Palm Beach, Florida. Pittsburg is at 40.3 degrees north latitude, while West Palm Beach is at 26.4 degrees north latitude. Assuming the Earth has a radius of 3960 mi, how far apart are these cities?
What is approximately 960 miles
500
Describe the symmetry in the graphs of sine and cosine.
sine is symmetric about the origin and cosine is symmetric across the y-axis
500
Find tan x if sec x = -3 and 0 < x < pi
What is -2 (sqrt 2)
500
Find sec(arcsin(-0.5)) without a calculator
What is (2sqrt3) / 3
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