Review for Exam 1 – Trigonometry 111.006
Chapter 1
1.1
- Complementary
angles
- Supplementary
angles
- Standard
position
- Coterminal
angles
1.2
- Types
of triangles (equilateral, isosceles, scalene, acute, obtuse, and right)
- Simlar
triangles
1.3
- How to
define the 6 trigonometric functions given a point (x,y) on the terminal
side of an angle
- How to
find the 6 trigonometric functions given an equation of a line and the sign of x (or y)
- Quadrantal
angles
- How to
find the trigonometric functions of quadrantal angles
1.4
- Reciprocal
identities
- Quotient
identities
- Pythagorean
identities
- How
to verify an equality using trigonometric identities
- Ranges
of trigonometric functions
- How
to find the value of a trigonometric function given a value of a different
trig function for that angle and the quadrant the angle is located in
- The
signs of the trigonometric functions in each quadrant
Good review problems:
Ch. 1 Review (p. 39-42)
# 1, 3, 13, 15, 21, 23, 25, 29, 31, 34, 37, 39, 41, 43
Ch. 1 Test (p. 42-43)
# 2, 4, 6, 7, 11, 12
Chapter 2
2.1
- Definitions
of the 6 trigonometric functions using the sides of a triangle
(SOH CAH TOA)
- Cofunctions
(how to write a function in terms of its cofunction or how to solve for an
angle given a cofunction equality)
- 30-60-90
triangles (be able to find all trig functions)!
- 45-45-90
triangles (be able to find all trig functions)!
2.2
- Reference
angles – how to find the values of trigonometric functions that are
non-acute
2.4
- Solve
a right triangle for missing sides and angles
- Applications
using angles of elevation and depression
Note: seconds and minutes will not
appear on the exam
2.5
- Solve
a triangle with two unknowns (h,x problems)
Good review problems:
Ch. 2 Review (p. 88-91)
# 1, 3, 5, 13, 15, 21, 23, 39, 41, 47
Ch. 2 Test (p. 91-92)
# 1, 2, 3, 10, 12, 14
Chapter 3
3.1
- Definition
of a radian
- How
to convert between degrees and radians
- Find
the values of trigonometric functions given angles in radian measure
3.2
- Arc
length
- Area
of a sector
3.3
- Understand
the unit circle (figure 12 on page 109)
- Domains
of trigonometric functions
- Find
values of circular functions
Good review problems:
Ch. 3 Review (p 124-127)
# 5-16, 21, 24, 29, 33, 35, 37
Ch. 3 Test (p. 128-129)
# 1-6, 9-15