Prove that 1 - sin2 A- cos2A 1 - sin2 A- cos2 A - A

1+sin 2A+cos 2A1+sin 2A cos 2A =sin 2A+1+2cos^2A 1sin 2A+1 (1 2sin^2A) =2sin Acos A+2cos^2A2sin Acos A+2sin^2A =2cos A(sin A+cos A)2sin A(co ...

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

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\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

{sin}^{8} A - {cos}^{8} A = ({sin}^{2} A - {cos}^{2} A) (1 - 2 {sin}^{2} A {cos}^{2} A)

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

Prove it:

Cos²A-cos²A=sin²A-sin²A

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