SOLUTION: Find values of sin(a-b)if cos a=15/17, cot b=24/7, 0 degrees<a<90 degress, and 0 degrees< b< 90 degreea

Question 834804: Find values of sin(a-b)if cos a=15/17, cot b=24/7, 0 degrees
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find values of sin(a-b)if cos a=15/17, cot b=24/7, 0 degrees ***

cos(a)=15/17

sin(a)=8/17
..
cot(b)=24/7
hypotenuse=
sin(b)=7/25
cos(b)=24/25
..

..
calculator check:
cos(a)=15/17
a≈28.07˚
tan(b)=7/24
b≈16.26˚
a-b≈28.07-16.26≈11.81˚
sin(a-b)=sin(11.81)≈0.2046..
exact value as calculated=87/425≈0.2047..
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