Precalculus

Chapter 6: Additional Topics in Trigonometry

Chapter Quiz

1. Determine the number of solutions for triangle ABC, if 6m1q1.gif. [Hint]

2. Solve for side a in triangle ABC, if 6m1q2.gif. [Hint]

3. Find angle B in triangle ABC, if 6m1q3.gif. [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.
6m1q5.gif [Hint]

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

7. Identify the equation of the graph.
6m1q7.gif [Hint]

8. Identify the type of symmetry that the graph of the polar equation definitely possesses.
6m1q8.gif [Hint]

9. Write the polar complex number in rectangular form.
6m1q9.gif [Hint]

10. Find the product of the two complex numbers.
6m1q10.gif [Hint]

11. Find 2u – 3v, if 6m1q11.gif. [Hint]

12. Find the unit vector for 6m1q12.gif. [Hint]

13. Two forces of 110 lb and 60 lb act on an object. If the angle between the forces is 6m1q13.gif, find the direction of the resultant force relative to the 110 lb force. [Hint]

14. Find the dot product of the two vectors.
6m1q14.gif [Hint]

15. Find the angle between the two vectors.
6m1q15.gif [Hint]

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