SOLUTION: Use a product-to-sum or sum-to-product identity to complete the simplification shown below. sin(36 degrees)+sin(24 degrees)=sin(A) where the exact value of A with 0 degrees <

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Question 827541: Use a product-to-sum or sum-to-product identity to complete the simplification shown below.
sin(36 degrees)+sin(24 degrees)=sin(A)
where the exact value of A with 0 degrees < A < 90 degrees is:
A =

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Use a product-to-sum or sum-to-product identity to complete the simplification shown below.
sin(36 degrees)+sin(24 degrees)=sin(A)
where the exact value of A with 0 degrees < A < 90 degrees is:
***




cos(6)=sin(A)
cos(6)=sin(90-6)=sin(84)
sin(A)=sin(84)
A=84˚
..
calculator check:
sin(36)+sin(24)≈0.9945..
sin(A)=sin84≈0.9945..

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