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What is the Formula of Cos C โ€“ Cos D ?

Solution : The formula of cos C โ€“ cos D isย 2 sin(\(C + D\over 2\)) sin(\(D โ€“ C\over 2\)). Example : Express cos \(6\theta\) โ€“ cos \(8\theta\) as a product. Solution : We have, cos \(6\theta\) โ€“ cos \(8\theta\) = 2 sin(\(6\theta + 8\theta\over 2\)) sin(\(8\theta โ€“ 6 \theta\over 2\)) = 2 sin \(7\theta\) sin โ€ฆ

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What is the Formula of Sin C โ€“ Sin D ?

Solution : The formula of sin C โ€“ sin D is 2 sin(\(C โ€“ D\over 2\)) cos(\(C + D\over 2\)). Example : Express sin \(6\theta\) โ€“ sin \(2\theta\) as a product. Solution : We have, sin \(6\theta\) โ€“ sin \(2\theta\) = 2 sin(\(6\theta โ€“ 2\theta\over 2\)) cos(\(6\theta + 2\theta\over 2\)) = 2 sin \(2\theta\) cos โ€ฆ

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What is the Formula of Sin C + Sin D ?

Solution : The formula of sin C + sin D is 2 sin(\(C + D\over 2\)) cos(\(C โ€“ D\over 2\)). Example : Express sin \(4\theta\) + sin \(2\theta\) as a product. Solution : We have, sin \(4\theta\) + sin \(2\theta\) = 2 sin(\(4\theta + 2\theta\over 2\)) cos(\(4\theta โ€“ 2\theta\over 2\)) = 2 sin \(3\theta\) cos โ€ฆ

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What is the Formula of 2 Cos A Cos B ?

Solution : The formula of 2 cos A cos B is cos (A + B) + cos (A โ€“ B). Example : Solve : 2 cos 75 cos 15. Solution : We have, 2 cos 75 cos 15 = cos (75 + 15) + cos (75 โ€“ 15) = cos 90 + cos 60 = โ€ฆ

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What is the Formula of 2 Sin A Cos B ?

Solution : The formula of 2 sin A cos B is sin (A + B) + sin (A โ€“ B). Example : Solve : 2 sin 75 cos 15. Solution : We have, 2 sin 75 cos 15 = sin (75 + 15) + sin (75 โ€“ 15) = sin 90 + sin 60 = โ€ฆ

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Find the Value of Tan 75 degrees ?

Solution : The value of tan 75 degrees is \(\sqrt{3} + 1\over \sqrt{3} โ€“ 1\). Proof :ย  We write tan 75 as tan (45 + 30). Using the formula of tan (A + B), tan 75 = tan (45 + 30) = \(tan 45 + tan 30\over 1 โ€“ tan 45 tan 30\) \(\implies\) tan โ€ฆ

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