Here's the test I gave in Fall 2010!

Section 6.1

Memorize all reciprocal, ratio, and Pythagorean identities.  Use these known identities to verify lots of other identities. 

Section 6.2

Memorize all sum, difference, and cofunction identities.  Use them to find exact values and verify identities.

Section 6.3

Memorize all double and half angle identities.  Use them to find exact values and verify identities.

Section 6.5

1.  Give the restricted domain of each trig function (on which it is one-to-one) that is used to define the inverse trig function.

2.  Find exact values of inverse trig functions (when possible).

3.  Is sin^-1(sinx)=x for all x's?  Is sin(sin^-1x)=x for all x's?  Explain.

Review ALL types of assigned homework problems from this section.  Pay particular attention to the problems involving identities. 

Section 6.6

Solve equations.  You should be able to do this on 0 to 360 degrees, 0 to 2pi, and find all solutions.  Be prepared to use identities, the quadratic formula, and sneaky algebra tricks.  Don't forget to check your answers if you square both sides of an equation!

Section 7.1

You should be able to use the law of sines to solve a triangle.  You need to be able to recognize the ambiguous SSA case and determine whether there are 0, 1, or 2 possible triangles.  If no triangle exists, you'll need to explain why.  If there are two possible triangles, solve them BOTH.  Look at the applications problems, too!

Section 7.2 (on the FINAL only!)

1.  Use the law of cosines to solve a triangle given SAS or SSS case. 

2.  Find the area of a triangle.

3.  Do applications problems.

Download the "Brain Drain Sheet" here