SOLUTION: I really need help with this problem: Use the sum-to-product formula to simplify the expression: If sin 44 degrees + sin 16 degrees = sin A degrees, 0<A<90, then A = how many

Algebra ->  Trigonometry-basics -> SOLUTION: I really need help with this problem: Use the sum-to-product formula to simplify the expression: If sin 44 degrees + sin 16 degrees = sin A degrees, 0<A<90, then A = how many      Log On


   

Question 860424: I really need help with this problem:
Use the sum-to-product formula to simplify the expression:
If sin 44 degrees + sin 16 degrees = sin A degrees, 0 A = how many degrees.

Found 2 solutions by rothauserc, stanbon:
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
sin 44 degrees + sin 16 degrees = sin A
0.69 + 0.28 = 0.97
therefore
sin A = 0.97
we want the inverse of sin A which is the arcsin
arcsin (0.97) = 75.93 degrees
angle A is 75.93 degrees

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use the sum-to-product formula to simplify the expression:
If sin 44 degrees + sin 16 degrees = sin A degrees, 0 A = how many degrees.
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2sin(60/2)cos(28/2) = sin(A)
2sin(30)*cos(14) = sin(A)
cos(14) = sin A
sin(A) = cos(90-A)
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A = 90-14 = 76 degrees
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Cheers,
Stan H.
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