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Name: ________________________ Class: ___________________ Date: __________
Pre Calculus Unit Seven REVIEW SHEET- Rotation Angles and Trigonometric Graphs
Answer the following questions without a calculator.
1. Find two positive and two negative coterminal angles for the following:
(a) 330°
(b)
5
6
.
2. Find the reference angle for the given angle.
(a) 155° = __________ 
(b)
5
= __________º
3
(c) -114 = __________°
(d)
25
= ___________°
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3. Find the values of the trigonometric functions of  from the information given.
tan   6, sin   0
(a) sin
(b) cos
(c) csc
(d) sec
(e) cot
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ID: A
Name: ________________________
ID: A
4. Find the values of the trigonometric functions of  from the information given.
sec   7, sin  0
(a) sin
(b) cos
(c) tan
(d) csc
(e) cot
5.
List the ratios for the six trigonometric functions on the Unit Circle using values of x and y.
.
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Name: ________________________
ID: A
6. Find the exact value for the trigonometric functions.
(a) sin 120
(b) cos 225
(c) tan (150)
.
7. Find the exact value for the trigonometric function.
(a) sin
5
2
(b) tan
3
4
.
Write the equation for each graph.
8. Write the equation of the following graph in the form asin(b(x-c))+d.
3
(c) sec
7
6
Name: ________________________
ID: A
9. Write the equation of the following graph in the form asin(b(x-c))+d.
10. Write the equation of the following graph in the form asin(b(x-c))+d.
11. Write the equation of the following graph in the form acos(b(x-c))+d.
12. Write the equation of the following graph in the form acos(b(x-c))+d.
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Name: ________________________
ID: A
13. Write the equation of the following graph in the form acos(b(x-c))+d.
14. In a predator/prey model, the predator population is modeled by the function
y  800 cos 3t  7,000
where t is measured in years.
(a) What is the maximum population?
(b) Find the length of time between successive periods of maximum population. Please round the answer to
the nearest hundredth.
__________ years
15. Each time your heart beats, your blood pressure increases, then decreases as the heart rests between beats. A
certain person's blood pressure is modeled by the function
p(t)  114  26sin(150 t)
where p(t) is the pressure in mmHg at time t, measured in minutes.
(a) Find the amplitude of p.
__________ mmHg
(b) Find the period of p. Please give the answer to four decimal places.
__________ min
(c) If a person is exercising, his heart beats faster. How does this affect the period of p?
The period __________.
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