Question

Prove that (1 + cot x ) ^2 + (1- cot x ) ^2 = 2 cosec square x

Answer 1

Open the brackets by applying square:

LHS:


\[= \large 1 + \cot^2(x) + 2\cot(x) + 1 + \cot^2(x) - 2\cot(x)\]

\[\large \implies 2 (1+ \cot^2(x))\]

And do you know the identity:

\[\large \color{green}{1 + \cot^2(x) = cosec^2(x)}\]

Use this and you will have your proof..

Answer 2

@Sgstudent getting or not??

Answer 3

yes i get it :)

Answer 4

Sure ??

Answer 5

i forgot the formula :)

Answer 6

So now you can do no??

Answer 7

yes

Answer 8

Go ahead..