SOLUTION: Use the sum formula to fill in the blanks in the identity below. Give exact answers. Do not use decimals. Your answer should be a fraction or an integer. If the answer requires

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Question 812508: Use the sum formula to fill in the blanks in the identity below.
Give exact answers. Do not use decimals. Your answer should be a fraction or an integer. If the answer requires a square root enter it as sqrt . E.g. the square root of two should be entered as sqrt(2).
sin(x+(pi/3))=___________sin(x)+___________cos(x)
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Your answer should be a fraction or an integer. If the answer requires a square root enter it as sqrt . E.g. the square root of two should be entered as sqrt(2).
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Since sin(a+b) = sin(a)cos(b) + cos(a)sin(b)
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sin(x+(pi/3))=sin(x)cos(pi/3)+cos(x)sin(pi/3)
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= (1/2)sin(x) + (sqrt(3)/2)cos(x)
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Cheers,
Stan H.
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