SOLUTION: Use similar triangles to define, in any right triangle with hypotenuse z, the trigonometric function as cos0= x/z sin0= y/z tan0 = y/x Hint: The cirle has a radius 1.

Algebra ->  Trigonometry-basics -> SOLUTION: Use similar triangles to define, in any right triangle with hypotenuse z, the trigonometric function as cos0= x/z sin0= y/z tan0 = y/x Hint: The cirle has a radius 1.      Log On


   

Question 437565: Use similar triangles to define, in any right triangle with hypotenuse z, the trigonometric function as cos0= x/z sin0= y/z tan0 = y/x Hint: The cirle has a radius 1.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The radius of the unit circle is 1, then using similar triangles, y%2Fsin%28theta%29+=+r%2F1
==> sin%28theta%29+=+y%2Fr, where r+=+sqrt%28x%5E2+%2B+y%5E2%29.
Similarly, cos%28theta%29+=+x%2Fr.