SOLUTION: Find the missing coordinate of P, using the fact that P lies on the unit circle in the given quadrant. a) P( ,-15/17) Quadrant IV b) P(2/5, ) Quadrant I

Algebra ->  Trigonometry-basics -> SOLUTION: Find the missing coordinate of P, using the fact that P lies on the unit circle in the given quadrant. a) P( ,-15/17) Quadrant IV b) P(2/5, ) Quadrant I      Log On


   

Question 1192566: Find the missing coordinate of P, using the fact that P lies on the unit circle in the given quadrant.


a) P( ,-15/17) Quadrant IV


b) P(2/5, ) Quadrant I
Answer by ikleyn(52898) About Me  (Show Source):
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Find the missing coordinate of P, using the fact that P lies on the unit circle in the given quadrant.

a) P( ,-15/17) Quadrant IV

b) P(2/5, ) Quadrant I
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            Part (a)


The point is  P(x,-15/17), and it lies on the unit circle.  x is the unknown x-coordinate.


It means that  

    x%5E2 + %28-15%2F17%29%5E2 = 1%5E2,

    x%5E2 + 225%2F289 = 1

    x%5E2 = 1 - 225%2F289 = %28289-225%29%2F225 = 64%2F225,

    x = sqrt%2864%2F225%29 = +/- 8%2F15.


Since the point is in Quadrant IV, x-coordinate is positive.


Therefore, the ANSWER  is x= 8%2F15:  the missed coordinate is 8%2F15.

Solved.

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Solve part  (b)  in the same way.

You may report me about your progress.

If you do,  please refer to the  ID  number of this problem,  which is  1192566.