Test 2 | Time: 1.5 hours |
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- Use fundamental identities and algebra to simplify
to one of the six basic trigonometric functions. Show all steps.

**Answer:** - Find all exact solutions for
on the interval .

**Answer:**The exact solutions are: - 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 . - Verify the identity
Show all steps.

**Answer:** - Use the Sum and Difference Identities to find the exact values
of .

**Answer:**. - If and , find
the exact values for the following:
- .

**Answer:**. - .

**Answer:**

- .
- 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 . - Find all exact solutions for on the interval
.

**Answer:**The exact solutions are: - Let .
- Convert z to its trigonometric form.

**Answer:** - Use DeMoivre's Theorem to solve the equation
Write your solutions in standard form .

**Answer:**The solutions are , and .

- Convert z to its trigonometric form.

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