Multiple Choice
Identify the
choice that best completes the statement or answers the question.
|
|
|
1.
|
Which equation is a reciprocal identity?
|
|
|
2.
|
Which equation is a quotient identity?
|
|
|
3.
|
Which equation is a Pythagorean identity?
|
|
|
4.
|
What does the expression    simplify to?
|
|
|
5.
|
Which expression is equivalent to  ?
|
|
|
6.
|
Which expression is equivalent to  ?
|
|
|
7.
|
Which expression is equivalent to  ?
|
|
|
8.
|
Express  in terms of cosine and sine only, and simplify. A. |  | C. |  | B. | 0 | D. | 1 |
|
|
|
9.
|
Which expression is equivalent to  ?
|
|
|
10.
|
What is the general solution, in degress, to the equation  ?
|
Short Answer
|
|
|
1.
|
Find the exact value of  .
|
|
|
2.
|
Use a counterexample to show that  is not an identity.
|
Problem
|
|
|
1.
|
Prove the identity  .
|
|
|
2.
|
An angle satisfies the relation  . a) Use the definition of the
reciprocal trigonometric ratios to express the left side of the relation in terms of the sine and/or
cosine ratios. b) Determine the value(s) for the angle. Do not use a
calculator. c) Verify your answer to part b) using a calculator. d) Show your
answer to part b) using a unit circle.
|
|
|
3.
|
Solve  over the domain  .
|