Prove that tan 2 A 2 B- 2 A tan 2 B-tan 2 A-tan 2 B

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Range of Trigonometric Ratios from 0 to 90 Degrees

Prove that ta...

Question

Prove that

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

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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) =

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}

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