Math 1060 – 003
Camacho
Summer 2012
Final Exam Review
Final Exam Review
Section 4.1

Convert Degrees to Radians and Radians to Degrees

Calculate Conterminal Angles
Section 4.2

Understand the Unit Circle

Find the six trigonometric functions using the unit circle
Section 4.3

Solve right triangles

Calculate all other trigonometric functions from knowing a single trigonometric function
Section 4.4

Find all six trigonometric functions knowing a point in the plane
Section 4.5

Given equation or graph of a trigonometric function, identify the following:
o
Amplitude
o
Angular Frequency
o
Period
o
Frequency
o
Max and Min values
o
Vertical Shift
Section 4.7

Calculate inverse sine, cosine, and tangent of an angle

Find both solutions of an inverse trig function between 0 and 360, or 0 and
.
Math 1060 – 003
Camacho

Find all solutions to a trigonometric equation using algebra and inverse trig functions.
Section 4.8

Solve word problems using right triangle trigonometry.
Section 5.1

Reciprocal Identities

Pythagorean Identities

Odd/Even Identities

Co-function Identities

Simplify trigonometric expression

Evaluating the other five trigonometric functions knowing only one function.
Section 5.2

Verify trigonometric identities using the identities in section 5.1
Section 5.3

Summer 2012
Final Exam Review
Solve trigonometric equations using the identities in section 5.1
Section 5.4

Sum and difference formulas

Evaluating expressions using sum and difference formulas

Solving equations using sum and difference formulas
Section 5.5

Double angle formulas

Half Angle formulas

Power reduction formula

Evaluate expressions using double and half angle formulas

Solve equations using double and half angle formulas
Math 1060 – 003
Camacho
Section 6.1

Law of sines

Solve triangles using the law of sines

Determine whether there are zero, one, or two solutions to a triangle.
Section 6.2

Law of cosines.

Solve right triangles using Law of Sines and Law of Cosines.

Use Heron’s formula to find the area of a triangle.
Section 6.3

Vector addition, subtraction, scalar multiplication

Convert vector from rectangular form to polar form

Convert vector from polar form to rectangular form

Represent displacement, velocity, and force as vectors

Solve word problems using vectors
Section 6.4

Find the dot product of two vectors

Find the angle between two vectors

Determine whether two vectors are orthogonal
Section 6.5

Find the modulus and argument of a complex number

Write a complex number in its trigonometric form

Add, subtract, multiply and divide complex numbers

Raise complex numbers to the nth power.

Find all nth roots of a complex number.
Summer 2012
Final Exam Review
Math 1060 – 003
Camacho
Summer 2012
Final Exam Review
Practice Problems
Section 4.1:
17 – 20, 47 – 70
Section 4.2:
1 – 4, 13 – 22, 29 – 36, 37 – 42
Section 4.3:
1 – 16, 59 – 62, 63 – 67
Section 4.4:
1 – 24
Section 4.5:
1 – 14, 35 – 56, 63 – 70
Section 4.7:
1 – 16, 19 – 34, 37 – 42
Section 4.8:
15 – 40
Section 5.1:
1 – 14, 27 – 44, 45 – 56, 61 – 64
Section 5.2:
1 – 10
Section 5.3:
7 – 34
Section 5.4:
7 – 22, 37 – 50
Section 5.5:
1 – 18, 35 – 40, 49 – 54
Section 6.1:
1 – 18, 19 – 24, 25 – 28, 29 – 34, 35 – 43
Section 6.2:
1 – 16, 23 – 28, 29 – 43
Section 6.3:
21 – 28, 29 – 38, 47 – 52, 65 – 68, 73 – 76
Section 6.4:
1 – 8, 9 – 18, 25 – 34
Section 6.5:
11 – 30, 31 – 40, 47 – 58, 59 – 66, 71 – 88, 89 – 104