SOLUTION: Point A = (cosθ,sinθ) is at the intersection of x2 +y2 = 1 and a ray starting at the origin that makes an angle, θ, with the positive x-axis. The ray starting at the origin thro

Algebra ->  Circles -> SOLUTION: Point A = (cosθ,sinθ) is at the intersection of x2 +y2 = 1 and a ray starting at the origin that makes an angle, θ, with the positive x-axis. The ray starting at the origin thro      Log On


   

Question 1163601: Point A = (cosθ,sinθ) is at the intersection of x2 +y2 = 1 and a ray starting at the origin that makes an angle, θ, with the positive x-axis. The ray starting at the origin through point P makes an angle of 2θ with the positive x-axis.
(a) Explain why P = (cos 2θ, sin 2θ).
(b) Reflect B = (1,0) over the line CA to get an equivalent
form of the coordinates of P written in terms of cos θ and sin θ. C
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The coordinates of are if and only if lies on the circle .

Since you didn't specify that is on the unit circle, you cannot prove the assertion in part (a).

In part (b) you have the same problem exacerbated by the fact that you don't specify the location of point

If you want help with this question, repost it including all of the relevant information.


John

My calculator said it, I believe it, that settles it