Name_______________________________
Mr. Jones
Date:____________________
Trigonometry
Test 2 Lesson 8- 12
Exact Function Value, Reference Angles, Degree Radian Conversion, Pythagorean
Identities, Radian Measure Formula
Review
1.
Find the exact function value of each using the special right triangles.
a. cos 60°
b. sin 45°
c. tan 30°
d. csc 30°
e. sec 45°
f. cot 60°
g. sin 30°
h. tan 45°
i. csc 60°
2.
Draw the given angle in standard position, draw the reference angle, and
find the exact function value of the reference angle.
a) cos 300°
c) sin -45°
b) tan 120°
d) sec 135°
e) csc
4𝜋
3
f) sin
2𝜋
3
g) cot
3.
11𝜋
h) cos −
3
𝜋
4
Convert each angle measure to radians.
a. 30°
b. 90°
c. 45°
d. 120°
e. 135°
f. 225°
g) 60°
h. 160°
i. 330°
4.
a.
d.
g. π
Convert each radian measure to degrees.
𝜋
2
2𝜋
3
b.
e.
h.
𝜋
c.
9
10𝜋
f.
9
7𝜋
2
𝜋
5
3𝜋
2
i. 2π
5.
Find each value when the measure of the central angle θ of a circle, the
radius r, or intercepts an arc of length s are given.
a. r = 10 ft, s = 40 ft
c. r =200 in, θ =
e.
𝜋
2
b.
r = 6 yd, s = 8 yd
d. θ = 5, s = 30 ft
A circle has a radius of 6 inches. Find the length of the arc
𝜋
intercepted by a central angle of . Express the arc length in terms of
4
𝜋.
6. For each given function value, find the five remaining trigonometric function
values.
a) cos θ =
b) sin θ =
1
3
√3
2
θ is in quadrant IV
θ is in quadrant I
c) cos θ = −
√2
θ is in quadrant III
2
d) sin θ = (−
√2
2
)
θ is in quadrant III.