Question

X equal to tan a minus tan B and Y equal to COT B minus cot a then 1/x+1/y equal to

Answer 1

Answer is Cot(A - B)

Step-by-step explanation:

Cot(A - B) = cotB cotA + 1 /Cot B - CotA

CotB CotA +1/cotB- CotA × tan a tan b/tan a tan b

1 + tan a tan b/tan a- tan b

1/tan a- tan b + tan a tan b / tan a - tan b

X = tan a - tan b

Y = Cot b - Cot a

= 1/tan b - 1/tan a

=tan a - tan b/tan a tan b

or

1/y = tan a tan b/tan a - tan b

put these values

1/x + 1/y