Download PreCalculus Honors Study Guide for Trigonometry Test The

PreCalculus Honors
Study Guide for Trigonometry Test
The trigonometry test on portions of chapters 4 and 6 consists of the usual two parts.
Part I: No Calculator 18 questions (63 points) Leave all answers as radicals in simplest
form or in terms of π. You will be given a blank unit circle to fill out.
Part II: Calculator Required (20 points) This section consists of two word problems.
You will have to apply the laws and relationships you have learned in this unit.
Remember to check that your calculator is in the appropriate mode.
Please show all formulas and work.
Copy numbers correctly and check mathematical computations twice.
Read the question carefully and answer the question that is asked.
Avoid rounding answers until the last step. Use the ANS key.
Round answers to the appropriate decimal place.
Be sure you know how to:
1) Use a unit circle to determine the value of trig functions and inverse trig
functions.
2) Use the relationships of special right triangles.
3) Find exact values of the six trig functions given a single function and/or a
terminal side of an angle.
4) Find co-terminal angles.
5) Evaluate expressions involving composition of functions and express answers in
the appropriate domain.
6) Draw and solve right triangular trig problems by using the appropriate trig
function.
7) Solve basic trig equations.
8) Determine average rate of change when given two points on a function.
9) Apply the Law of Sines and the Law of Cosines to triangles.
10) Recognize the ambiguous case and determine all solutions that exist.
11) Verify that the sum of two sides of the triangle is greater than the length of the
third side.
12) Verify that the largest angle in the triangle is opposite the longest side; the
smallest angle, opposite the shortest side.
13) Draw diagrams using bearings; report angles in bearings.
14) Convert from degrees to radians and vice versa.
15) Convert from decimal degrees to degrees, minutes, and seconds and vice versa.
16) Use area formulas for triangles. Memorize these. You will not be given them.
17) Find linear and angular speed and length of a circular arc.