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 places.
2. Solve the right triangle: , hypotenuse=27.4
and find six trigonometric function values for .
Rounds your answers to 4 decimal places.
3. Find the following:
a) Quadrant of the terminal side of the angle 105 :
) 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
.
4. Convert: (round your answers to 2 decimal places when appropriate)
a) 42 08'50" to decimal degree notation.
) 51.18 to degrees, minutes and seconds
c) 30 to radians in terms of pie
d) 78 to radians
e) 2.6 radians to degrees
f)
2
3
radians to degrees
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
) 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
) cos39.8
c) tan
d)
3
csc
4
8. Find the acute angle in degrees, given the function value:
a)
3
sin
2
)
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
adians?
) 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
) 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
) cos( )
2
y x