Prove that-sin 2 A -tan 2 A-sin 2 A-3

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Standard Values of Trigonometric Ratios

Prove that:si...

Question

Prove that:

sin²A / (tan²A-sin²A) = 3

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

t a n^{2} a - t a n^{2} b = \frac{s i n^{2} a - s i n^{2} b}{c o s^{2} a . c o s^{2} b}

{sin}^{2} A + \frac{1}{1 + {tan}^{2} A} = 1

Prove the following trigonometric identities:

$(1 + t a n^{2} A) + (1 + \frac{1}{t a n^{2} A}) = \frac{1}{s i n^{2} A - s i n^{4} A}$

(1 + {tan}^{2} A) (1 + \frac{1}{{tan}^{2} A}) = \frac{1}{{sin}^{2} A - {sin}^{4} A}

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