Honors Algebra 2/Trigonometry Chapter 7 - Trigonometry Extra Review
Calculator Allowed For These Problems:
For the following angles: a) sketch the angle in standard position; b) find the reference angle;
c) give the values of two angles that are coterminal with the given angle – one positive and
one negative.
1. 137º
2. 412º
3. – 81º
Reference : _________
Reference : _________
Reference : _________
Coterminal Angles:
__________ __________
Coterminal Angles:
__________ __________
Coterminal Angles:
__________ __________
4. 3 Reference :_______
Coterminal Angles:
5. 7 6 Reference :_____
Coterminal Angles:
__________ __________
__________ __________
Find the indicated function value.
decimal places.
6. cot 12.3º
Round to four
7.
csc 8 5
8. sec 4.5
1. Find the values of the indicated
functions.
Given tan 0 = 1.481, find sin 0 and cos 0
(Do not round until the final answer. Then round to three decimal places as needed.
2. Find the function value. Round to four decimal places.
cos 59.08 =
(Round to four decimal places as needed)
9. Find the exact values of each of the six trig functions of an angle T in standard position if the
point
(– 1, – 2) is on its terminal side.
10. If 5 sin
3
T and 2
cos
3
T , find the exact values of the other four trig functions.
11. If 3
cos
5
T and csc T < 0, find the exact values of the other five trig functions.
12. A camera is mounted on a tripod 4 feet high at a distance of 10 feet from George, who is 6
feet
tall. If the camera lens has angles of depression and elevation of 20o, will George’s feet and
head be
seen by the lens? If not, how far back will the camera need to be moved to include George’s
head
and feet?
13. A water sprinkler sprays water over a distance of 30 feet while rotating through an angle of
135o.
What area of the lawn receives water?
14. The amusement park ride called the Pirate Ship swings back and forth along the path of a
circle
getting higher and higher with each swing. If the maximum angle from the beginning of the
swinging
motion to the end of the motion is 78o and the distance from the boat to the pivot point is 25
feet, how
far does the boat swing?
No Calculators Now!!!
Convert from degrees to radians and find exact values of all six trig functions. Give answers in
simplest radical form.
Angle (T) Radians Sin T Cos T Tan T Cot T Sec T Csc T
15. 240o
16. -315o
17. 300o
Convert from radians to degrees and find exact values of all six trig functions. Give answers in
simplest radical form.
Angle (T) Degrees Sin T Cos T Tan T Cot T Sec T
Evaluate the given expression. Answers should be in simplest radical form.
21. sin 30o + cos 60o 22. cos 45o sin 210o + sin 30o cos 135o
23. cos2 60o + sin2 60o 24. sec 30
cos 30
q
q
25. csc sin
22
S S 26. 3 sec sin tan csc
44 4 3
SS S S
27. 2 2 3 cos sin
43
S S 28.
cos
6
sin
6