Arc Length & Area of Sectors
Trig Ratios & Inverse Trig Ratios
Trig "Laws"
Reference Angles and Coterminal
Random
100
If the radius of our circle is 10 cm, and the central angle is 2.35 radians, then how long is the arc? (round to the nearest hundredths)
What is 73.83 cm?
100
A right triangle KTW, KW=6, KT=5, and angle KTW=90 degrees. Find angle K and round to the nearest hundredths.
What is 33.56 degrees?
100
In triangle ABC, angle A=30, angle B=65 and BC=10. Find AC to the nearest tenth.
What is 18.1?
100
Find the reference angle for 120 degrees
What is 60 degrees?
100
Convert 72° to radians.
What is 2pi/5?
200
Finding the area of a sector of a circle that has a radius of 4 in and a central angle of 110 degrees? (round to the nearest hundredths)
What is 15.36?
200
If q is an acute angle of a right triangle and cos q = 5/7 find the values of sec q.
What is 7/5?
200
In triangle ABC, if BC=4, AC=3, and cos C=-1/2. What is the length of AB?
What is square root of 37?
200
Find a positive coterminal angle to angle A = -200 degrees
What is 160 degrees?
200
If tan q =3.2; find what angle q is in the 3rd quadrant?
What is 253°?
300
The radius of the circle is 16 inches and the central angle is pi/4. Find the arc length. Leave your answer in terms of pi.
What is 4pi?
300
A ladder 12 feet long makes an angle of 67° with the ground as it leans against a store. How far up the side of the store does the ladder reach?
What is 11.05 ft?
300
Given about Triangle ABC, angle A = 47°, angle B = 52°, and b = AC. What is BC?
What is BC = 72.39?
300
Find a positive coterminal angle smaller than 360 degrees to the angle, -700 degrees
What is 20 degrees?
300
Cos 5pi/4. Evaluate the function without using the calculator.
What is -square root of 2 divided by 2?
400
Find the area of a sector with a central angle of 60° and a radius of 9.7 mm. Round to the nearest tenth.
What is 49.3?
400
What is the height of an equilateral triangle with side 12 cm?
What is 6 square root of 3?
400
Given triangle ABC with BC = 3, angle A = 40°, and B =27°, find AC. Round your answer to two decimal places.
What is 2.12?
400
Find a positive coterminal angle smaller than 2 Pi to the angle, - 29 Pi / 6.
What is 7 Pi / 6?
400
In triangle ABC, sin A=1/3, sin B=1/5, and AC=6. Find side BC.
What is 10?
500
The radius of our circle is 16 in and our arc length is 8 pi. Find the central angle of our circle?
What is 90 degrees or pi/2?
500
If q is an acute angle of a right triangle and cos q = 5/7 find the values of csc q.
What is square root of 6 times 7 all divided by 12.
500
In triangle DEF, EF=1, DF=1, and angle F=120 degrees. Find the value of DE?
What is what is square root of 3?
500
Find the reference to angle A = - 15 Pi / 4.
What is Pi / 4 ?
500
In triangle ABC, BC=3, AC=8, and angle C=60. Find the length of side AB.
What is 7?
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