SOLUTION: Solve for t. {{{sin((pi*t)/6)}}} = {{{sqrt(3)/2}}} Thank you.

Algebra ->  Trigonometry-basics -> SOLUTION: Solve for t. {{{sin((pi*t)/6)}}} = {{{sqrt(3)/2}}} Thank you.      Log On


   

Question 987287: Solve for t.
sin%28%28pi%2At%29%2F6%29 = sqrt%283%29%2F2
Thank you.
Answer by ikleyn(52908) About Me  (Show Source):
You can put this solution on YOUR website!
.
If  sin%28alpha%29 = sqrt%283%29%2F2  then  alpha = pi%2F3   OR   alpha = 2pi%2F3.

The first implication gives

%28pi%2At%29%2F6 = pi%2F3.

Hence,  t  = 2  in this case.

The second implication gives

%28pi%2At%29%2F6 = 2pi%2F3.

Hence,  t  = 4  in this case.

Answer.  t  = 2   OR    t  = 4.