Question

If cosecA - cotA = 1/3, the value of (cosecA +cotA) is
a)1.
b)2.
c)3.
d)4

Answer 1

given 
CosecA - Cot A = 1/3
 
we know that
  Cosec²A - Cot²A will be 1
so
Cosec²A - Cot²A = 1
(CosecA - Cot A)(CosecA + Cot A) = 1
1/3(CosecA + Cot A) = 1
CosecA + Cot A = 3

Answer 2

As we all know that cosec2A+cot2A=1
(cosecA - cotA)(CosecA +cotA) =1
1/3(cosecA +cotA)=1
CosecA + cotA =1*3=3
So.,
CosecA + cotA = 3

Hope it help you....