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Functions and Trig
Unit 1 & 2 Review #2
Mathematician:
2.22.17
Section 1.1: Angles in General TEST – THURSDAY FEBRUARY 23rd, 2017 Find the measure of the complement and the supplement of each angle. 1. Complement: Supplement: 12 2. Find the value of x and the measure of each angle.  B = (8x –24)o x =  A =  B =  A = (4x + 12)o 3. Find the angle of smallest positive measure that is coterminal with each angle. A) 1015o B) ‐ 540o Section 1.3: The Six Trigonometric Functions Sketch an angle  in standard position with the given point on its terminal side. Find the value of r. Then find the values of the six trigonometric functions. 4. (‐5, ‐12) Hypotenuse: sin   ___
csc   ___
cos   ___
sec  ___ tan   ___
cot   ___
5. Suppose that (x, y) is in the indicated quadrant. Decide whether the given ratio is positive or negative. A) III, y x
B) II, r y
Section 1.4: 6. Reciprocal Identities and Quadrant Signs Given: sin    3 , with  in quadrant III 6
Find the following trig ratios. sin   ___
csc   ___
cos   ___
sec  ___ tan   ___
cot   ___
Use the appropriate reciprocal identity to find each function value. 7. Find cos  , if sec 
15
9
8. Find csc , if sin   
4
5
Identify the quadrant or quadrants for the angle satisfying the given conditions. cos   0, csc   0 cot   0, sin   0 9. 10. Give the signs (positive or negative) of the sine, cosine, and tangent functions for each angle. 239 225 11. 12. Sine: Cosine: Tangent: Sine: Cosine: Tangent: Section 2.1: Cofunctions & Special Right Triangles (30-60-90 and 45-45-90)
Write each function in terms of its cofunction.
13.
 
cos 73o
14.

csc   10o

15.
Complete the following table for the missing values.

sin 
30
1
2
16.
tan 
1
1
2
csc 
2
1
2
3
2
Find the exact value for the following trig functions.
o
A) cos120 
Section 2.2:
17.
sec 
cot 
3
45
60
cos 
B)
cot60o =
Reference Angles
Match each angle in column I with its reference
used once, more than once, or not at all.
Column I
I. 210o
II. 405o
III. -120o
IV. -330o
angle in column II. Choices may be
Column II
A.
30o
B.
60o
C.
45o
D.
35o
Find the exact values of the three trigonometric functions for each angle.
18.
330o reference angle = _____
Quadrant =
19.
150o
reference angle = _____
Quadrant =
sin = ___
sin = ___
cos = ___
cos = ___
tan = ___
tan = ___
Tell whether each statement is true or false. Show work to justify you answer.
20.
sin 45  sin 45  sin  45  45 
21.
cos 60o 
1
sin120o
2
Section 2.3: Calculator Skills
22.
Use your calculator to find each value. Round your answer to three decimal places.
A) tan 450
o
B)
sec76o
C) cos   .9062
D)
csc  3.8521
Section 2.4: Solving for all parts of the triangle & Angle of Depression/Elevation
23.
Solve the right triangle for side c.
B
24.
Solve the right triangle below for
angle A.
A
67
32 in
12 m
A
C
C
25.
26.
18 m
Use the given information to solve each triangle. Fill in the table completely.
A
C
B
Sides
Angles
a=
A=
b=
B=
c=
C=
B
The angle of elevation from the bottom of the lift to the top of Arizona’s Snowbowl
Resort is 33°. If a skier rides 1,000 feet on this lift to the top, what is the vertical
distance between the bottom of the lift and the top?