Prove it-Cos2 A-cos 2 A-sin 2 A-sin 2 A

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Composite Function

Prove it:Cos2...

Question

Prove it:

Cos²A-cos²A=sin²A-sin²A

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Solution

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\frac{{sin}^{2} A}{{cos}^{2} A} + \frac{{cos}^{2} a}{{sin}^{2} A} = \frac{1}{{sin}^{2} A {cos}^{2} A} - 2

\frac{s i n^{2} A}{c o s^{2} A} + \frac{c o s^{2} A}{s i n^{2} A} = \frac{1}{s i n^{2} A c o s^{2} A} - 2

\frac{1 + sin 2 A + cos 2 A}{1 + sin 2 A - cos 2 A} = cot A

\frac{{sin}^{2} A}{{cos}^{2} A} + \frac{{cos}^{2} A}{{sin}^{2} A} = {sec}^{2} A c o s e c^{2} A - 2

{sec}^{2} A - \frac{{sin}^{2} A - 2 {sin}^{4} A}{2 {cos}^{4} A - {cos}^{2} A} = 1

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