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Question Number 12688 by frank ntulah last updated on 29/Apr/17

$$\mathrm{prove}$$$$\left(\frac{\sin (\mathrm{x}+\mathrm{y})}{\cos x\cos y}\right)=\tan x+\tan y$$

Answered by nume1114 last updated on 29/Apr/17

$$ifyoumean:$$$$\frac{\sin (x+y)}{\cos x\cos y}=\tan x+\tan y$$$$itistrue.$$$$\tan x+\tan y=\frac{\sin x}{\cos x}+\frac{\sin y}{\cos y}$$$$=\frac{\sin x\cos y+\cos x\sin y}{\cos x\cos y}$$$$=\frac{\sin (x+y)}{\cos x\cos y}$$$$$$

Commented by frank ntulah last updated on 29/Apr/17

$$\mathrm{you}\mathrm{are}\mathrm{right}\mathrm{sir},\mathrm{thank}\mathrm{you}\mathrm{a}\mathrm{lot}$$

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