SOLUTION: If sin A=3/5, cos B=8/17, and A and B are acute angles, determine the exact value of tan A tan B

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Question 1175851: If sin A=3/5, cos B=8/17, and A and B are acute angles, determine the exact value of tan A tan B
Found 2 solutions by MathLover1, Solver92311:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!












->the exact value of










->the exact value of

Answer by Solver92311(821)   (Show Source): You can put this solution on YOUR website!


Use the following identities:





Since the angles are acute, they are in the first quadrant. Both sine and cosine are positive in the first quadrant, hence use the positive roots.



You can do your own arithmetic.

John

My calculator said it, I believe it, that settles it

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