Trigonometry Study Guide
The Mathematics Dept at
UT
A good general page
that covers
(succinctly) much of what is required is:
http://people.hofstra.edu/faculty/Stefan_Waner/trig/trig2.html.
This
page, under Chapter Four,
has lots of
practice tests.
http://college.hmco.com/mathematics/larson/precalculus_functions_aga/3e/students/ace.html
Unit Circle:
One
of the most basic things you need to know regarding trigonometry if how to find
the Sine and Cosine of angles which are multiples of
p/6 (30o) or p/4 (45o). The easiest way to accomplish this is to
learn the unit circle. A useful web site for the unit
circle is http://www.spsu.edu/math/edwards/1113/unitcircle.htm. In addition, the following site has a
nice applet to play with and help you learn
http://www.analyzemath.com/unitcircle/unitcircle.html,
if you have a java enabled browser.
Right Triangle Trigonometry: Sections 1,2 and 6 of this web
lesson are applicable – and there are exercises with solutions to help you
practice http://www.math.uakron.edu/~tprice/Trig/RghtTria.pdf
Identities:
This link will give you all of the following classes
of identities (as well as a few others we will not test)
http://aah.ryan-usa.com/node77.html
Reciprocal Identities: Once you can find the Sine and Cosine of these angles, you can use the following reciprocal identities to find the other four trigonometric functions.
Quotient Identities: These
are from the right triangle trigonometry section.
Pythagorean Identities:
Some
additional useful sites for this topic are:
http://www.coolmath.com/pythagoreanidentities.htm
This next site also has a link to a page on solving trig equations that is also
useful that is worth looking at
http://www.revision-notes.co.uk/revision/785.html
.
Cofunction Identities: These identities help convert Sine into Cosine, Secant into Cosecant and Tangent into Cotangent (and vice versa).
Identities For Negatives
Graphing: You need to be able to recognize and find equations for graphs of all the trig functions. This requires understanding amplitude and phase shift as well as having the basic graphs memorized. Notice that if you know the unit circle, you can use this information to find the important points on the basic graphs. Here are a few helpful web sites.
http://www.analyzemath.com/GraphBasicTrigonometricFunctions/GraphBasicTrigonoFunction.html
http://colalg.math.csusb.edu/~devel/precalcdemo/circtrig/src/sineshift.html
Solving
Trig Equations: Very
important, and one of the more difficult topics
http://www.analyzemath.com/Solve-Trigonometric-Equations/Solve-Trigonometric-Equat.html Has a little practice test.