Angles
Right Triangle Trig
Unit Circle
Inverse Trig Functions
Trig Identities
100
Convert angle from degrees to radians -
85°
17𝜋/36
100
Label the adjacent side, opposite side, and hypotenuse,
a- adjacent side
b- opposite side
c- hypotenuse
100
Find the exact value of the expression-
sec
8𝜋/3
-2
100
Evaluate-
cos (tan^−1(5/12))
12/13
100
Use the fundamental identities to fully simplify the expression
sin(x) cos(x) csc(x)
cos(x)
200
Find the degree measure of the angle with the given radian measure
-80.2°
200
Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and side c is the hypotenuse.
cos(B) = 4/5, a = 14
b= 10.5
c= 17.5
200
Use reference angles to find the exact value of the expression
tan
11/𝜋6
-sqrt(3)/3
200
Evaluate the expression
sin^−1(cos(𝜋))
-𝜋 /2
200
Use the fundamental identities to fully simplify the expression
(cot(t) + tan(t)) / sec(−t)
csc(t)
300
Find the angle between 0° and 720° that is coterminal to 65°
425°
300
A 38-ft ladder leans against a building so that the angle between the ground and the ladder is 78°. How high does the ladder reach up the side of the building?
37.17 feet
300
Use reference angles to find the exact value of the expression
sec(300°)
2
300
Evaluate sin^−1(0.97) in radians
1.3252
300
True or false, the answer to cscθ cosθ tanθ is 1
true
400
Convert the angle in radians to degrees -
𝜋/9 radians
20°
400
Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and side c is the hypotenuse.
cos(B) = 4/5, a = 78
b= 58.5
c= 97.5
400
The height of a piston, y, in inches, can be modeled by the equation y = 3 cos(x) + 4, where x represents the crank angle. Find the height of the piston when the crank angle is 15°
6.90 inches
400
Solve for the angle θ.
θ=41.41°
400
Use the fundamental identities to fully simplify the expression-
tan(x) sin(x) + sec(x) cos2(x)
sec(x)
500
Use the given information to find the length of a circular arc-
the arc of a circle of radius 9.09 miles subtended by the central angle of 𝜋3 radians
9.52 miles
500
A 100-foot tall monument is located in the distance. From a window in a building, a person determines that the angle of elevation to the top of the monument is 13°, and that the angle of depression to the bottom of the tower is 2°. How far is the person from the monument?
735.94 feet
500
If cos(t) = − 15, and t is in quadrant III, find the exact values of sin(t), sec(t), csc(t), tan(t), and cot(t).
sin(t)= -2sqrt(6)/5
sec(t)=-5
csc(t)= -5/2sqrt(6)
tan(t)= 2sqrt(6)
cot(t)= 1/2sqrt(6)
500
a 17-foot ladder is leaning against a building, reaching to the bottom of a second-floor window 12 feet above the ground. What angle, in radians, does the ladder make with the building?
0.79 radians
500
evaluate-
cot(θ) / csc(θ)
cosθ