Asked by Heather
I don't understand how to do these problems:
Find two pairs of polar coordinates for each point with the given rectangular coordinates if 0 ≤ θ ≤ 2π. Round to the nearest hundredth, if necessary.
17. (2, -3)
Answers: (3.61, 5.30) and (-3.61, 2.16)
19. (a, 3a), a > 0
Answers: (3.16a, 1.25) and (-3.16a, 4.39)
Thank you!!
Find two pairs of polar coordinates for each point with the given rectangular coordinates if 0 ≤ θ ≤ 2π. Round to the nearest hundredth, if necessary.
17. (2, -3)
Answers: (3.61, 5.30) and (-3.61, 2.16)
19. (a, 3a), a > 0
Answers: (3.16a, 1.25) and (-3.16a, 4.39)
Thank you!!
Answers
Answered by
Reiny
make a sketch and place (2,-3) into the fourth quadrant. Complete the right-angled triangle
the hypotenuse will be √13 , x - 2, y = -3
let the angle be Ø
tanØ = -3/2
Ø = 2π - .98279.. = 5.3
so one point is (√13, 5.3) which is what you have.
your other point is also correct.
for the point (a,3a) , a > 0 , the point is in quad I
tanØ = 3a/a = 3
Ø = 1.25 , you are right
r = √(a^2 + 9a^) = a√10 = appr 3.16a
again, you are right, good job
the hypotenuse will be √13 , x - 2, y = -3
let the angle be Ø
tanØ = -3/2
Ø = 2π - .98279.. = 5.3
so one point is (√13, 5.3) which is what you have.
your other point is also correct.
for the point (a,3a) , a > 0 , the point is in quad I
tanØ = 3a/a = 3
Ø = 1.25 , you are right
r = √(a^2 + 9a^) = a√10 = appr 3.16a
again, you are right, good job
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.