1Richard 1Richard
  • 18-04-2019
  • Mathematics
contestada

If theta is between pi radians and 3pi/2 radians and csc= -5/2, what are the coordinates of x and y

Respuesta :

altavistard
altavistard altavistard
  • 19-04-2019

Answer:

(-√29, -2)

Step-by-step explanation:

This angle is in Quadrant III, and so the opp side is -, the adj side is also -, and opp² + adj² = hyp².

Here we have csc Ф = 5/(-2) = hyp / opp.

The hyp has length 5, the opp side has length 2, and the adj side has length √(5²+2²), or √29

With y = -2 and x = -√29, the coordinates x and y are (-√29, -2).  Yes, this is in Quadrant III.

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