3. Determine the number of solutions to the triangle. Do not solve. A = 29 degre

Question

3. Determine the number of solutions to the triangle. Do not solve. A = 29 degrees, a = 7, b = 10

4.Determine the number of solutions to the triangle. Do not solve. A = 57degrees, a = 62, b = 50

5. Determine the Quadrant that the point (3, pi/4) is in. Note: this point is in polar coordinates

. 6. Determine the Quadrant that the point (-2, 5pi/6) is in. Note, this point is in polar coordinates.

7. Determine the Quadrant the point (-5, -7pi/6) is in. Note: this point is in polar coordinates.

8.Convert the following point from polar to rectangular coordinates. (4, 4pi/3)

Explanation / Answer

3) since b sin A < a

10 sin 29 < 7

the triangle will have 2 solutions

4)  A = 57 , a = 62 , b = 50

since b < a

50 < 62

hence, the triangle will have only one solution

5) ( 3,pi/4 ) lies in 1st quadrant

6) (-2, 5pi/6 ) lies in 2nd quadrant

7) (-5,-7pi/6 ) lies in 3rd quadrant

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