SOLUTION: Given that A and B are acute and Sin A = 4/5, Cos B = 7/25. Find wihout using table the value of tan (A

SOLUTION: Given that A and B are acute and Sin A = 4/5, Cos B = 7/25. Find wihout using table the value of tan (A - B).

Question 754852: Given that A and B are acute and Sin A = 4/5, Cos B = 7/25. Find wihout using table the value of tan (A - B).
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Given that A and B are acute and Sin A = 4/5, Cos B = 7/25. Find wihout using table the value of tan (A - B).
***
Identity:
sinA=4/5
working with a 3-4-5 right triangle in Q1
tanA=opposite side/adjacent side=4/3
..
cosB=7/25
opposite side=√(25^2-7^2)=√576=24
tanB=opposite side/adjacent side=24/7
..

..
Check with calculator:
sinA=4/5
A≈53.13�
cosB=7/25
B≈73.74�
A-B≈-20.61�
tan(A-B)=tan(-20.61�)≈-0.3760..
Exact value=-44/117≈-0.3760..
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