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Topic: Circular functions
Replies: 6   Last Post: Jan 19, 2009 7:50 PM

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 matt271829-news@yahoo.co.uk Posts: 2,136 Registered: 1/25/05
Re: Circular functions
Posted: Jan 19, 2009 7:50 PM

On Jan 19, 11:44 pm, Albert <albert.xtheunkno...@gmail.com> wrote:
> On Jan 20, 10:25 am, Matt <matt271829-n...@yahoo.co.uk> wrote:
>

> > You've seen that cos(angle) = x/r
> <snip>
> > If the angle is 90 degrees then what is the
> > corresponding value of x?

>
> Now I see: x is zero and therefore cos90 = 0.

Correct.

Possibly I'm just repeating what's already been said, but imagine a
ray of length 1 that has one end fixed at the origin, and the other
end sweeping out a circle of radius 1. The x-coordinate of the free
end is cos(A), and the y-coordinate is sin(A), where A is the angle
the ray makes with the positive x-axis.

Anticlockwise rotation from the positive x-axis means a positive
angle; clockwise rotation means a negative angle. Once you've gone
around a full circle (2*pi radians, 360 degrees) you're back where you
started, so sine and cosine are periodic with period 2*pi.

Date Subject Author
1/19/09 Albert
1/19/09 David L. Wilson
1/19/09 Albert
1/19/09 Albert
1/19/09 matt271829-news@yahoo.co.uk
1/19/09 Albert
1/19/09 matt271829-news@yahoo.co.uk