Question

Find tan (A - B) for sin A = 12/13 with 0 < A < π/2 and cos B = 8/17 with 0 < B < π/2

Answer 1

Hello! For some reason, my last question was closed unexpectedly. I may have done it but I do not recall. If I did, it was a total accident.

I would appreciate any help on these review questions:
http://imgur.com/eBAAHd2

We're studying for the upcoming final and I'm super nervous! Help would be much appreciated as I could really use some!

Answer 2

Here is some of my work. I just want to know if it's correct before I move on any further:
So, sin(A)=12/13 is the same as arcsin(12/13)=A. The arcsin of (12/13) is about equal to (~=) 1.18 radians.

Now do the same thing for B:
cos(B)=8/17
arccos(8/17)=B
1.08~=B

So now we have:
tan(1.18-1.08)
tan(0.1)
~=0.1