SOLUTION: If cos t = 8/9, find all possible values of sin t.

Algebra ->  Trigonometry-basics -> SOLUTION: If cos t = 8/9, find all possible values of sin t.      Log On


   

Question 1027371: If cos t = 8/9, find all possible values of sin t.
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
If cos t = 8/9, find all possible values of sin t.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

sin(t) = +/-sqrt%281+-+cos%5E2%28t%29%29 = +/-sqrt%281+-+%288%2F9%29%5E2%29%29 = +/-sqrt%28%2881-64%29%2F81%29 = +/-sqrt%2817%2F81%29 = +/-sqrt%2817%29%2F9.