7.1: Angles
7.2: Right Triangle Trig
7.3: Unit Cirlce
7.4: The Other Trig Functions
100
Convert 180 degrees to radians.
(pi)
100
Evaluate cos(pi/4).
sqrt(2)/2
100
Find the exact value of sin(pi/6).
1/2
100
Find the exact value of tan(pi/4).
1
200
Find the angle between 0 degrees and 360 degrees that is coterminal with -80 degrees.
280 degrees
200
Solve for the unknown sides in the triangle.
a=(5sqrt(3))/2
b= 5/2
200
State the reference angle (in radians) for (3pi)/4.
pi/4
200
Find the exact value of csc(pi/3).
(2sqrt3)/3
300
Find the angle between 0 and 2pi in radians that is coterminal with
-(20pi)/11.
(2pi)/11
300
In a right triangle, tan(A)=5/9 , b=6 , find the length of side a (opposite angle A) and side c (the hypotenuse).
a= 10/3
c= (2sqrt(106))/9
300
State the reference angle for -330 degrees.
30 degrees
300
Find the exact value of csc((23pi)/6).
-2
400
Find the linear speed of a point on the equator of the earth if the earth has a radius of 3,960 miles and the earth rotates on its axis every 24 hours. Express answer in miles per hour. Round to two decimal places.
1036.73 mi/hr
400
The angle of depression from the top of a building in Mayville down to a water balloon target 50 feet from the building is found to be 71 degrees. How tall is the building? Round to the nearest foot.
145 ft
400
If cos(t)=1/7 and t is in the 4th quadrant, find the exact value of sin(t).
-(4sqrt(3))/7
400
Use identities to simplify:
sec(t)/csc(t)
tan(t)