SOLUTION: For positive acute angles A and B, it is known that sin A = 35/37 and cos B = 5/13. Find the value of cos(A+B) in simplest form.

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Question 1176187: For positive acute angles A and B, it is known that sin A = 35/37 and cos B = 5/13. Find the value of cos(A+B) in simplest form.
Answer by greenestamps(13203) About Me  (Show Source):
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sin A = 35/37 means a leg of 35 and a hypotenuse of 37; use the Pythagorean Theorem to find the other leg. Then use that to find cos A.

cos B = 5/13 means a leg of 5 and a hypotenuse of 13. You might recognize that as a Pythagorean Triple with the other leg 12. Use that to find sin B.

cos(A+B) = (cos A)(cos B)=(sin A)(sin B)

Do the calculations....