SOLUTION: Given the point P(t) = (-2, 3): a) What is the distance from P to the origin? b) What is cos(t)? c) What is the x-y coordinate of the point where the line segment from the ori

Question 516252: Given the point P(t) = (-2, 3):
a) What is the distance from P to the origin?
b) What is cos(t)?
c) What is the x-y coordinate of the point where the line segment from the origin to P intersects
the unit circle?
d) What is the x-y coordinate of P(t - π)?
e) Evaluate tan(t + π)

So far I think I have:
a: sqrt(13)
b: (2)/(sqrt(13)
Any ideas for the others?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

You did part a) correctly, but look at the sign on the

-coordinate of the given point and then re-think your answer to part b).

c) Exactly the same as the correct answer to part b). That is, after all, the whole point of the unit circle -- the

and

coordinates ARE the cosine and sine of the angle.

d)

. Going halfway around the circle from an angle in the 2nd quadrant puts you in the 4th quadrant where the cosine is + and the sine is -. Your problem doesn't specify whether you want the

adn

coordinates of the point on the