## Precalculus 2 Practice Exam

Test 2 Time: 1.5 hours

1. Use fundamental identities and algebra to simplify

to one of the six basic trigonometric functions. Show all steps.

2. Find all exact solutions for

on the interval .

3. A triangle has angles and . The side c between these angles is 6 feet long. Find the third angle C and the lengths of the other two sides. Round the lengths to two decimal places.

Answer: The side of the triangle feet, and feet, and the angle .

4. Verify the identity

Show all steps.

5. Use the Sum and Difference Identities to find the exact values of .

6. If and , find the exact values for the following:
• .

• .

7. A triangle has sides of lengths a=5, b=7, and c=10 meters. Find its three angles and round your results to one decimal place.

Answer: The three angles are: , , and .

8. Find all exact solutions for on the interval .

9. Let .
• Convert z to its trigonometric form.

• Use DeMoivre's Theorem to solve the equation

Write your solutions in standard form .

Answer: The solutions are , and .

If you would like to practice on Exam 3, click on Next Exam.