SOLUTION: Using the unit circle (u,v) = (cos s, sin s), find the points where sin s = cos s, for 0 =< s =< 2&#960;. Label them.

Algebra ->  Trigonometry-basics -> SOLUTION: Using the unit circle (u,v) = (cos s, sin s), find the points where sin s = cos s, for 0 =< s =< 2&#960;. Label them.      Log On


   

Question 442657: Using the unit circle (u,v) = (cos s, sin s), find the points where sin s = cos s, for 0 =< s =< 2π. Label them.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
That's easy.
Just look at the intersection points of the unit circle u%5E2+%2B+v%5E2+=+1 and the line u = v, which are the points (1%2Fsqrt%282%29,1%2Fsqrt%282%29) and (-1%2Fsqrt%282%29, -1%2Fsqrt%282%29), which happen when s+=+pi%2F4 and s+=+%285pi%29%2F4.