Given-sin-K-L-cos-M-2-sin-K-cos-L-M-Prove-that-tan-M-sin-L-K-2-sin-K-sin-L-

Tinku Tara June 4, 2023 Trigonometry 0 Comments

Question Number 25198 by Joel578 last updated on 06/Dec/17

Given sin (K + L) cos M = 2 sin K cos (L − M) Prove that tan M = ((sin (L − K))/(2 sin K sin L))

$$\mathrm{Given} \\ $$$$\mathrm{sin}\:\left({K}\:+\:{L}\right)\:\mathrm{cos}\:{M}\:=\:\mathrm{2}\:\mathrm{sin}\:{K}\:\mathrm{cos}\:\left({L}\:−\:{M}\right) \\ $$$$\mathrm{Prove}\:\mathrm{that}\:\mathrm{tan}\:{M}\:=\:\frac{\mathrm{sin}\:\left({L}\:−\:{K}\right)}{\mathrm{2}\:\mathrm{sin}\:{K}\:\mathrm{sin}\:{L}} \\ $$

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Given-sin-K-L-cos-M-2-sin-K-cos-L-M-Prove-that-tan-M-sin-L-K-2-sin-K-sin-L-

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