SOLUTION: Find the value of tan(a-b) if cos a=4/5 sin b=-5/13 270 degrees < a < 360 degrees and 270 degrees < b

SOLUTION: Find the value of tan(a-b) if cos a=4/5 sin b=-5/13 270 degrees < a < 360 degrees and 270 degrees < b < 360 degrees

Question 824912: Find the value of tan(a-b) if cos a=4/5 sin b=-5/13 270 degrees < a < 360 degrees and 270 degrees < b < 360 degrees
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the value of tan(a-b) if cos a=4/5 sin b=-5/13 270 degrees < a < 360 degrees and 270 degrees < b < 360 degrees.
***
reference angles a and b in quadrant IV, in which tan<0.
Identity:
..
cosa=4/5 (working with a (3-4-5) reference right triangle)
sina=-3/5
tana=sina/cosa=-3/4
..
sinb=-5/13 (working with a (5-12-13) reference right triangle)
cosb=12/13
tanb=sinb/cosb=-5/12
..

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