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
Algebra ->
Trigonometry-basics
-> 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
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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 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 radius circle or the unit circle. On the bigger circle, the numbers will be the same, but the signs opposite: (2,-3)
e) Hint: and . You go halfway around the circle -- who cares which direction you go -- right?
John
My calculator said it, I believe it, that settles it
