Download Exam Review #02

MA42: TRIGONOMETRY
HOMEWORK: EXAM 6 REVIEW #02
1. Find the exact value of the function.
a) cos (-2100)
c) sec
7
6
Name:
Date:
b) tan (3150)
d) sin -
5
4
2. Given the quadrant find the indicated trigonometric value.
8
a) Quadrant II and sin  =
. Find cot  .
17
b) Quadrant IV and sec  =
5
. Find sin  .
4
3. Use a calculator to approximate the expression.
a) arcsin (0.25)
b) arctan(-0.54)
c) arccos(2.3)
4. Use the properties of inverse functions to evaluate the expression.
5
3
a) cot(arctan )
b) tan(arcsin(- ))
8
4
c)
sec(arcsin 0)
d) cos(arctan 2)
5. Graph each function showing at least three complete periods if possible.

a) y = 2 cos(x + )
4
Midline
Amplitude
Phase
Shift
Period
Range
Domain
b) y = -sin(3x -  ) + 1
Midline
Amplitude
Phase
Shift
Period
Range
Domain
c) y = 2 csc (x -

)
2
Midline
Amplitude
Phase
Shift
Period
Range
Domain
6. Complete the following table.
Radians Degrees sin 
cos 

tan 
csc 
sec 
cot 
2
3300
15
5
2400
5
4
7. A ladder 5 m long, leaning against a vertical wall makes an angle of 65˚ with the ground.
a) How high on the wall does the ladder reach?
b) How far is the foot of the ladder from the wall?
c) What angle does the ladder make with the wall?