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.

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.

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 .

If you would like to check your answers, click on Answer.

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Fri Jul 18 21:50:07 MDT 1997

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