Question

A+B = 225° ,then cot A/1+cot A. cot B/1+cot B =​​

Answer 1

Answer:

1/2

Step-by-step explanati

Given A+B=225

cot(A+B)= cot 225= cot (180+45)

= cot (45) = 1

cot A *cot B-1/cot A+ cot B = 1

cot A*cot B - 1 = cot A + cot B

cot A + cot B +1 = cot A * cot B  -------> eq(1)

NOW,

=cot A *cot B / (1+ cot A ) * (1+cot B)

=cot A* cot B /1+cot  B + cot A + cot A *cot B

= cot A * cotB / cot A*cot B +cot  A *cot B   --------> using eq (1)

cot A cot B/2cot A cot B = 1/2