Prove that sin 2 A cos 2 B-cos 2 A sin 2 B-sin 2 A-sin 2 B

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Standard Values of Trigonometric Ratios

Prove that si...

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Prove that (sin²A cos²B - cos²A sin²B)= (sin²A-sin²B)

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(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)

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

{sin}^{2} A + {sin}^{2} B + {sin}^{2} C = 2 + 2 cos A cos B cos C

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