assume that 0<x<pi/2 and 0<y<pi/2. find the exact value of tan(x-y) if sin x=8/17 and cos y= 3/5
1 answer:
Recall that


From the second identity, we find


We're told that
and
, which means we should take the positive roots above. Then


Then we compute the tangents:


so we end up with

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