Download Review for 2nd Qtr Exam

Math Analysis Quarter 2 Review
b) Find the mA .
1. a) Find the side.
2. Write a cosine function for each graph:
a.
b)
3. Write a sine function for each graph:
a.
b)
4. What is the complement of:
a)

6
b) 

7
5. A 30 foot ladder leans against the side of a building. Find the distance (h) up the side of the
building if the angle of elevation of the ladder is 62 degrees.
6.
 
x   2 , find:
4 
Look at the equation y  3 cos
Amplitude = _____
Period = _______
Phase Shift = ______
Vertical Shift = _______
7. Given sin x = 3/5, tan x < 0, find the exact value for the other trigonometric functions.
8. Find the Domain for the following:
2x  3
4x  3
a. a)
b)
3x  1
2x  1
9. Find the reference angle for the following
 5
a. 500 
b)
3
c)
c) - 495 
1 
2 
10. Using the graph below sketch the transformation y  f  x   1
7x  2
 3
on a coordinate plane.
5
11. Graph  
12. Simplify the expression:
a.
3
108 x 5 y 9 z 13
b.
3
81x 11 y 15
13. Given the point (- 3, - 7) on the terminal side of an angle in standard position, what is the exact
value of the six trigonometric functions of that angle.
14. Factor: f(x) = 9x2 – 6x + 1
15. Given sin x =
3
1
, tan x =
, find cot x.
2
2
16. Simplify:
5
a)

3 5
 10a b
b) 
2 1

 20a 3 b 6
3
24 x y
16 x 4 y
17. Given tan  
3
and sin   0, find cos 
5
18. Rationalize the expression:
2
5
3 3





2
19. In which quadrant is the terminal side of
12
.
7
20. Factor completely: x4 – 2x2 + 1
21. Find the zeros: 4 x 2  20x  56
22. Rationalize the expression
23. Simplify:
1
3
x
a)
1  3x
x2
24. Simplify:
3
5 7
.
2
6

b) x  7 x  5
2 x  13
x 2  12 x  35
12 x 3  x 4

(3x 2 )3 ( x1 )2
25. In which quadrant is the terminal side of an angle if its csc  0 and cos  0 ?
26. Convert the following radians to degrees:
a)
3
4
b)
11
6
c)
 7
12
27. Convert Degrees to Radians.
a) 315 
b) 135 
c) 127 
28. Simplify the following:
a)
sin 2   cos 2 
cos 
b)
sec x cos x
d) tan x cos x