SOLUTION: Angles A and B are located in the first quadrant. If sin A = 5/13 and cosB = 3/5, determine the exact value of cos(A + B).

Algebra ->  Equations -> SOLUTION: Angles A and B are located in the first quadrant. If sin A = 5/13 and cosB = 3/5, determine the exact value of cos(A + B).       Log On


   



Question 1192652: Angles A and B are located in the first quadrant. If sin A = 5/13 and cosB = 3/5, determine the exact value of cos(A + B).
Answer by Alan3354(69443) About Me  (Show Source):
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Angles A and B are located in the first quadrant. If sin A = 5/13 and cosB = 3/5, determine the exact value of cos(A + B).
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Find cos(A) and sin(B) using sin%5E2%28x%29+%2B+cos%5E2%28x%29+=+1
Then, cos(A+B) = cos(A)*cos(B) - sin(A)*sin(B)