SOLUTION: using exact values simplify the following and express your answer in radical form and as one single fraction sin45degrees(1-cos30degrees)+cos45degrees(sin60degrees-sin30degrees)

Algebra ->  Rational-functions -> SOLUTION: using exact values simplify the following and express your answer in radical form and as one single fraction sin45degrees(1-cos30degrees)+cos45degrees(sin60degrees-sin30degrees)      Log On


   

Question 1091217: using exact values simplify the following and express your answer in radical form and as one single fraction
sin45degrees(1-cos30degrees)+cos45degrees(sin60degrees-sin30degrees)
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
Using the values sin 45, cos 45 = 1/sqrt(2), sin 60, cos 30 = sqrt(3)/2, and sin 30 = 1/2, we get
1/sqrt(2)(1-sqrt(3)/2) + 1/sqrt(2)(sqrt(3)/2 - 1/2)
Simplify:
1/sqrt(2)(1 - 1/2) = 1/(2*sqrt(2))