sin s = ys is the length of an arc of a circle.
cos s = x
tan s = sin s/cos s if cos s ≠ 0
cot s = cos s/sin s if sin s ≠ 0
sec s =1/cos s if cos s ≠ 0
csc s = 1/sin s if sin s ≠ 0
This may be asking too much, but I need help.
I have never seen sine, cosine, tangent, etc. applied to an arc. I've only learned sine and cosine in relation to angles in a right triangle.
I've looked back through chapter 12, but I don't see a section that explains this. I'm sure it's there, but it's not obviously there, and I'm in a hurry, sad to say.
Is there a short way anyone can explain to me how we get from sine, cosine, angles, and SOHCAHTOA to sine, cosine, and arcs?
Is there a website that has a succinct and lucid explanation?
And is there a book you like for self-teaching trigonometry and algebra 2? (Do we know what book(s) homeschoolers use?)
I need a royal road to circular functions.