Question

Prove:
sin^2 x + tan^2 x + cot^2 x = sec^2 x

Answer 1

@k.rajabhishek , try to get the equation only in the form of \(\large \sin^2 x\) and \(\large \cos^2 x\) :

\(\large \sin^2 x + \color{blue}{\cfrac{\sin^2 x}{\cos^2 x} } + \color{red}{ \cfrac{\cos^2 x}{\sin^2 x} } = \sec^2 x \)

Answer 2

@mathslover I had tried till this step.. now what to do after this?

Answer 3

Somehow, I doubt this identity...

Answer 4

me too.

Answer 5

are u sure?

Answer 6

if the last one is not cot ^2 but cos ^2 it turns true

Answer 7

ok..

Answer 8

Have you solved it?

Answer 9

i tried but not able to..

Answer 10

You won't, because this is not an identity... now, if you replace \(\cot^2 t\) with \(\cos^2t\) instead, then you'll have an identity.

Answer 11

Allright Try to get a trigonometric Identity.