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Question: Easy simplification

Question:Easy simplification

Rouben Rostamian 7878 Maple 2018
simplify trig
June 24 2018
1

In the calculation below, A and B both simplify to 1.  Why doesn't A*B simplify to 1?  Tested on Maple 2017 and 2018.

> 

restart;
> 

A := (1 - cos(s)^2)/sin(s)^2;

(1-cos(s)^2)/sin(s)^2

> 

B := (1 - cos(t)^2)/sin(t)^2;

(1-cos(t)^2)/sin(t)^2

> 

simplify(A);
simplify(B);

1

1

Why doesn't this simplify to 1?

> 

simplify(A*B);

((cos(t)^2-1)*cos(s)^2-cos(t)^2+1)/(sin(s)^2*sin(t)^2)
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