Prove the following trigonometric identities-4 A 1-sin 4 A -2 tan 2 A -1

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Complementary Trigonometric Ratios

Prove the fol...

Question

Prove the following trigonometric identities.

sec⁴ A(1 − sin⁴ A) − 2 tan² A = 1

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Prove the following identities:

$s e c^{4} A (1 - s i n^{4} A) - 2 t a n^{2} A = 1$

{sec}^{4} A (1 - {sin}^{4} A) - 2 {tan}^{2} A = 1

{sec}^{4} A (1 - {sin}^{4} A) - 2 {tan}^{2} A = 1

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

Prove the following trigonometric identities:

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

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