Prove that: tan^2 Θ - sin^2 Θ = sin^2 Θ tan^2 Θ 

Answer:


The process of solving this question and the important Trigonometric Ratios and other important stuffs are:

First we changed the given LHS in terms of sin and cos.

I.e. tan x = sin x / cos x

And then we took the LCM of the two terms.

Then we took the common term in the numerator and then wrote the remaining terms.

Then we got a Trigonometric identity
i.e. sin^2 x = 1 - cos^2 x

So, we got everything in the form of multiple and division.
Then we separated the terms to get sin and tan.

So, we.proved the given trigonometric identity of Trigonometry in mathematics which was a lot easier.

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