Download 4 3 csc π π

Math 110 Trigonometric & Analytic Geometry
Test #2
Name: ---------------------------------------------------------------- Date: -----------------------------To get full credit you must show your work. 10 points each question.
1. Find the exact value of
a)
csc
2. If cos
3
4
t
b)
2
, and if the terminal point determined by t
3
 4 
tan   
 3 
is in Quadrant V,
Find the remaining trigonometric functions of t. Then find
csc t  cot t
1
3.
a. Find the amplitude and the period for
y  2cos5x 
b. Graph one period of y  tan x
make sure to label your graph.
4.
Find the amplitude , period and phase shift for
2

y  cos(3x  )
7
2
2
5. Find the amplitude and the period of
1 1 
y   cos x  then graph one period and
2 2 
make sure to label your graph.
3
6. Graph the given functions:
  3 3 
,  . Remember to
y  3csc(2x  π) in the interval 
2
2

find the amplitude, period and phase shift.
4
7. Find the domain and range of the following functions:
a) Y = sin x
Domain: ----------------------Range: -----------------------b) Y = cos-1 (x)
Domain: ----------------------Range: -----------------------c)
d) Y = tan-1(x)
Domain: ----------------------Range: ------------------------
8.
Find the exact value for. Do not use a calculator.
a)
b)
 5 
 5 
sin 2    cos 2  
 6 
 6 

cos( )  2 cos 
2
5
9.
Find the exact value of
a)
b)
1

tan sin 1 
2

cos 1 cos(
7π
)
6

6
10.
Find the equation of the given graph. To get the full credit for this question, make sure to
write the information from the graph that you are going to use to find the equation.
7