MAC 1114 – Ch 5 Practice – Solve without using a calculator.
1.
Find the exact value of each expression.
a.
b.
c.
2.
3.
 3
cos 
 2

0

3
 8 
sin   
 3  2
 5 
tan 
 1
 4 
Convert to radians.
5
18
a.
50˚=
b.
270˚=
3
2
Convert to degrees.
a.
7
=420 deg
3
2
=120deg
3
4. Let   120 . Find the values of sin  ,cos  , tan  ,cot  ,sec , and csc .
b.
3
2 3
, csc120 
2
3
1
cos120  ,sec120  2
2
sin120 
tan120   3, cot120  
5.
3
3
Evaluate the inverse expressions.
1 

2 3
a.
arccos
c.
cot 1  1 
3
4
b.

3

sin 1  
  
3
 2 
d.
csc1 1 

2
MAC 1114 – Ch 5 Practice – Solve without using a calculator.
6.


Consider the function f  x   2 cos  6 x 

.
2
a.
Amplitude=2
b.
Period=
c.
Phase Shift=
d.
Graph the function clear indicating your final graph and label 5 points. DONE IN CLASS
Find the inverse,

3

12
left
f 1  x  , and clearly state the domain of the inverse.
1
 x 
f 1  x   cos 1   
6
 2  12