Degrees, Radians, and DMS
Trig Functions 1
Circular Functions
Arc length and area of a sector
Problem Solving
100
Convert (3pi)/7 to degrees. Round to the nearest hundredth of a degree.
77.14^o
.
100
The x-value of a point on the unit circle given a central angle, theta .
What is the
cos theta?
100
Two angles are ___________ if they have the same initial side and terminal side, but have different measures.
Coterminal
100
What is the arc length formula for a sector?
s=theta\r
100
Find the length of AB
18
200
Convert 24^o into radians. Reduce your answer to the simplest fraction.
(2pi)/15
200
The cos theta and tan theta if
sin theta=5/13
cos theta=12/13 and tan theta=5/12
200
Find one positive and one negative angle that are coterminal with -142 degrees.
+218 degrees; -502 degrees (other coterminal angles acceptable, also)
200
What is the area of a sector formula?
A=1/2r^2theta
200
In right triangle ABC, the measure of angle B if the measure of angle A=40^0
50o
300
Convert 150.625o into Degree-Minute-Second Form
150^o\ 37'\ 30''
300
The value of sec\ pi/3 on the unit circle.
2
300
Find sine trig of angle A, whose terminal side contains the point (-8,15).
sinA = 15/17
300
The arc length of a subtended angle given a radius of 5ft and a central angle measure of 18^o .
pi/2
300
Find the measure of angle B
approximately 53.13 degrees
400
Convert 118.32 from decimal form to DMS.
118^o\ 19'\ 12''
400
The cot theta if the measure of angle theta is 135^o (use your unit circle!)
-1
400
Find the 6 trig functions of 330 degrees.
sin(330) = -1/2; cos(330) = sqrt3/2; tan(330) = -1/sqrt3
csc(330) = -2; sec(330) = 2/sqrt3; tan(330) = -sqrt3
400
How far has the hour hand (which has a length of 6 inches) traveled if it goes from 12:00 - 4:00 on a clock? Round to the nearest tenth.
12.6 inches
400
Find the measure of side BC
approximately 5.035
500
Convert 48 degrees, 30 mins, 36 sec from DMS to degrees.
48.51 degrees
500
The exact value of the height of a transmission tower given a wire from the top of the tower forms a 60^o angle with the ground at a distance of 25 ft from the base of the tower.
25sqrt3
500
Find secA and cscA if cotA = -4/3 and cosA < 0
secA = -5/4; cscA = 5/3
500
What is the area of the region formed between the hour and minute hand if it is 4:00 on a clock with a radius of 6 inches? (Hint: Draw a picture to help you!)
37.7 in2
500
Find the value of x and the missing side length
x=41.181 degrees
Missing side = 12.510