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Unit 3 Review

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Last updated over 2 years ago
18 questions
Note from the author:
Don't do the area of the sector or arc length problems
Don't do the area of the sector or arc length problems
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Question 1
1.

NC. Find the angle of smallest possible positive measure coterminal with the given angle:
-197°

Question 2
2.

NC: Give an expression that generates all angles coterminal with the given angle. Let "n" represent any integer.

142°

Question 3
3.

NC: Find the exact value of "s" in the gieven interval that has the given circular function value.


s=

Question 4
4.

NC: Find the exact circular function value.

Question 5
5.

NC: Suppose that angle θ is in standard position and the given point is on the terminal side of θ. Give the exact value of the indicated trig function for θ.


Question 6
6.

NC: Suppose that angle θ is in standard position and the given point is on the terminal side of θ. Give the exact value of the indicated trig function for θ.


Question 7
7.

NC: Evaluate the expression:


Question 8
8.

NC: Give the signs of the trigonometric functions:

cos(502°) and tan(502°)

example answer: + and +

Question 9
9.

NC: A is an angle in standard position and satisfies the given conditions. Find the indicated trig function value of A.

The terminl side of A is in quadrant II and lies on the line -7x-5y=0. Find sec(A).

Question 10
10.

NC: Identify the quadrant for the angle, satisfying the following conditions:

tan(x)>0 and sin(x)<0.

Quadrant:

Question 11
11.

CA: SKIP THIS- Find the length of an arc intercepted by a central angle "x", in a circle of radius "r". Round your answer to one decimal place.

r=145.6 in.; x=44°

Question 12
12.

CA: SKIP THIS- Find the length of an arc intercepted by a central angle "x", in a circle of radius "r". Round your answer to one decimal place.

Question 13
13.

CA: A circular pulley is rotating about its center. About how many radians would it turn in 8 rotations?

Question 14
14.

CA: SKIP THIS- Find the area of a sector of a circle having the given radius r, and central angle x. Use 3.14 for π.


Question 15
15.

CA: Each tire of an automobile has a radius of 1.25 feet. How many revolutions per minute (rpm) does a tire make when the automobile is traveling at a speed of 107 feet/sec? Round your answer to the nearest tenth.

Question 16
16.

NC: Find the exact circular function value:


Question 17
17.

NC: Evaluate the expression:

7tan(360°)+6csc(270°)

Question 18
18.

NC: Find sec(x) given the following information: