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Question 151155: sin(60 degree-45 degree): sin(60 degree-45 degree)
Answer by jim_thompson5910(9391) About Me  (Show Source):
You can put this solution on YOUR website!
sin(60-45) Start with the given expression.

sin(60)cos(45)-cos(60)sin(45) Expand the expression using the Sum-Difference identity


(sqrt(3)/2)(sqrt(2)/2)-(1/2)(sqrt(2)/2) Evaluate sin(60) to get sqrt(3)/2. Evaluate cos(45) to get sqrt(2)/2. Evaluate cos(60) to get 1/2. Evaluate sin(45) to get sqrt(2)/2


sqrt(6)/4-sqrt(2)/4 Multiply.


(sqrt(6)-sqrt(2))/4 Combine the fractions.


So sin(60-45)=(sqrt(6)-sqrt(2))/4