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how do i use Pythagorean identity to find the exact coordinates of the point that has cos theta = 4/5

 Jun 8, 2016
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cos θ    = 4/5   = x/r

 

We need to find y  .....so we have

 

x^2 + y ^2   = r^2

 

4^2 + y^2  = 5^2

 

16 + y^2   = 25      subtract 16 from both sides

 

y^2   = 9         take ±   roots

 

y = ± 3

 

Since the cosine is positive in two quadrants,....we have two possible points....in the first quadrant we have (4,3)......in the fourth quadrant we have (4, -3)

 

 

 

cool cool cool

 Jun 8, 2016

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