SOLUTION: find the cosine of the angle formed with the coordinates (-6, 7) located in standard position

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Question 197567: find the cosine of the angle formed with the coordinates (-6, 7) located in standard position
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
find the cosine of the angle formed with the coordinates (-6, 7) located in standard position

Plot the point (-6,7)



Draw the radius vector, r, from the origin (0,0) to the point (-6,7). 



Indicate the angle.  I'll call it .



Draw a vertical line perpendicular down to the x-axis, and
label it .



Draw a horizontal line from the origin to the bottom of
that line, completing a right triangle.  Label it 



Now we find the length of  by the Pythagorean theorem:







So we put  for : 



Now since







Edwin

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