if cotA +1/cotA=1 then value of cot^2A +1/cot^2A??????????????

Question

How to find that vaule what are steps involved in it

 

 

Answer 1

If we square both sides of the equation, we get

(cotA+1/cotA)(cotA+1/cotA)=1^2

cot²A+1+1+1/cot²A=1

Subtract 2 to get:

cot²A+1/cot²A=-1

 

So we have a sum of two squares (positive numbers) equal to a negative number. So your original equation is actually never true for real A.

 

But this makes sense: you're adding a number and its reciprocal. One of those must be greater than 1, and they must have the same sign.