Please reduce the equation given Rod!

Question

0 = [ {cos(x) (a-b)} + {a sin(x) sin(y)} ] [ {a sin(y) cos(z)} - {sin(z) (a-b)} ]  / [{cos(z) (a-b)} + {a sin(z) sin(y)}] squared

 

Please show all steps to reduce the equation!

Answer 1

 

 

 

We only need to look at the numerator, because the product=0, so cos(x)(a-b)=-asin(x)sin(y), or asin(y)cos(z)=sin(z)(a-b).

(a-b)cot(x)=-asin(y), sin(y)=(b-a)cot(x)/a; or

sin(y)=(a-b)tan(z)/a.