SOLUTION: sin(60 degree-45 degree)

Algebra ->  Algebra  -> Trigonometry-basics -> SOLUTION: sin(60 degree-45 degree)      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 151155: sin(60 degree-45 degree)
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
sin%2860-45%29 Start with the given expression.

sin%2860%29cos%2845%29-cos%2860%29sin%2845%29 Expand the expression using the Sum-Difference identity


%28sqrt%283%29%2F2%29%28sqrt%282%29%2F2%29-%281%2F2%29%28sqrt%282%29%2F2%29 Evaluate sin%2860%29 to get sqrt%283%29%2F2. Evaluate cos%2845%29 to get sqrt%282%29%2F2. Evaluate cos%2860%29 to get 1%2F2. Evaluate sin%2845%29 to get sqrt%282%29%2F2


sqrt%286%29%2F4-sqrt%282%29%2F4 Multiply.


%28sqrt%286%29-sqrt%282%29%29%2F4 Combine the fractions.


So sin%2860-45%29=%28sqrt%286%29-sqrt%282%29%29%2F4