Prove that: Cot^2 A - cos^2 A = cos^2 A. Cot^2A

Answer:



The question follows a trick and with this trick you can solve every other questions just like this one.

First change the given terms into sin and cos

I.e. cot x = cos x/ sinx

And take the LCM

Then you will get similar terms in the numerator so take the common and you will get a trigonometric identity. Here we got

1 - sin^2 x = cos^2 x

And then you have everything in multiple and division form then you can simply convert them into cos and cot and prove that the given LHS is equal to the RHS and solve the Trigonometric identity of Trigonometry in mathematics.

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