Prove the following trigonometric identities-tan 2 A 2 B - 2 A tan 2 B -tan 2 A -tan 2 B

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Prove the fol...

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Prove the following trigonometric identities.

tan² A sec² B − sec² A tan² B = tan² A − tan²B

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Prove that

tan² A sec²B - sec² A tan² B = tan² A - tan² B

tan² A sec²B - sec² A tan²B= tan² A- tan² B.

(i) (s i n^{2} A c o s^{2} B - c o s^{2} A s i n^{2} B) = (s i n^{2} A - s i n^{2} B)

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

(t a n^{2} A s e c^{2} B - s e c^{2} A t a n^{2} B) =

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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