# Chapter 6: Additional Topics in Trigonometry

## Chapter Quiz

1. Determine the number of solutions for triangle ABC, if . [Hint]

2. Solve for side a in triangle ABC, if . [Hint]

3. Find angle B in triangle ABC, if . [Hint]

4. Find the area of triangle ABC, given a=10 m, b=7 m, and c=4 m. [Hint]

5. Convert the polar point into a rectangular point.
[Hint]

6. Convert 2x – y = 9 to a polar equation. [Hint]

7. Identify the equation of the graph.
[Hint]

8. Identify the type of symmetry that the graph of the polar equation definitely possesses.
[Hint]

9. Write the polar complex number in rectangular form.
[Hint]

10. Find the product of the two complex numbers.
[Hint]

11. Find 2u – 3v, if . [Hint]

12. Find the unit vector for . [Hint]

13. Two forces of 110 lb and 60 lb act on an object. If the angle between the forces is , find the direction of the resultant force relative to the 110 lb force. [Hint]

14. Find the dot product of the two vectors.
[Hint]

15. Find the angle between the two vectors.
[Hint]

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