# 11/14/2018 Mat 175 Professor Gebuza Review Problems for Chapter 6 1. Solve the right triangle:    , 4b  : and find six trigonometric function values for . Rounds your answers to 2 decimal...

11/14/2018 Mat 175 Professor Gebuza
Review Problems for Chapter 6
1. Solve the right triangle:    , 4b  :
and find six trigonometric function values for .
2. Solve the right triangle:    , hypotenuse=27.4
and find six trigonometric function values for  .
3. Find the following:
a) Quadrant of the terminal side of the angle 105   :
b) Supplement of 105   :

c) One positive and one negative angle that are coterminal with 105   .

d) One positive and one negative angle that are coterminal with the angle 85    .

11/14/2018 Mat 175 Professor Gebuza
Review Problems for Chapter 6
e) Quadrant of the terminal side of the angle
6

  .
f) Complement and supplement of
6

  .

g) One positive and one negative angle that are coterminal with the angle of
5
6

  .

a) 42 08'50" to decimal degree notation.

b) 51.18 to degrees, minutes and seconds

c) 30  to radians in terms of pie

f)
2
3

11/14/2018 Mat 175 Professor Gebuza
Review Problems for Chapter 6
5. Given that cot 2  and  is in III quadrant, find the other five trigonometric function
values.
6. Without a calculator, find the exact function value, if it exists:

a) cos 45

b) csc150

c) sin 30

d) tan 240 

e) sin
3

f)
5
cot
6

11/14/2018 Mat 175 Professor Gebuza
Review Problems for Chapter 6
7. Using a calculator, find the function value. Round your answers to four decimal places.

a) sin 40.1 

b) cos39.8

c) tan

d)
3
csc
4

8. Find the acute angle  in degrees, given the function value:

a)
3
sin
2
 
b)
2
cos
2
 
c) tan 2 

9. a) An arc 18 meter long on a circle of radius 8 meter subtends an angle of how many
b) How many degrees (to the nearest degree)?
11/14/2018 Mat 175 Professor Gebuza
Review Problems for Chapter 6
10. List period, domain, and range for:

a) siny x
b) cosy x
c) tany x
d) cscy x
e) secy x
f) coty x
11. Determine the range, domain, amplitude, period and phase shift of each function below.
Sketch the graph of each function.
a)
1
sin 1
2
y x 
b) cos( )
2
y x

  