SOLUTION: Simplify the expression cos(a+B)/cosa sinB=

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Question 919723: Simplify the expression
cos(a+B)/cosa sinB=
Answer by algebrapro18(249) About Me  (Show Source):
You can put this solution on YOUR website!
Formula's we're going to use:

(1) Cos(x + y) = Cos(x)Cos(y)-Sin(x)Sin(y)
(2) Cos(x)/Sin(x) = Cot(x)
(3) Sin(x)/Cos(x) = Tan(x)

(4) x+y/wz = x/wz + y/wz
To simplify we do the following:

Cos%28a+%2B+B%29%2F%28Cos%28a%29Sin%28B%29%29
=%28Cos%28a%29Cos%28B%29-Sin%28a%29Sin%28B%29%29/Cos%28a%29Sin%28B%29 by Formula 1
=%5B%28Cos%28a%29Cos%28B%29%29%2F%28Cos%28a%29Sin%28B%29%29%5D - %28Sin%28a%29Sin%28B%29%29%2F%28Cos%28a%29Sin%28B%29%29 by formula 4
=Cos%28B%29%2FSin%28B%29 - Sin%28a%29%2FCos%28a%29 by canceling out common terms
=Cot%28B%29-Tan%28a%29 by Formula 2 and 3