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Question Number 11274 by uni last updated on 18/Mar/17

$$\frac{sin20+\sqrt{3}\times cos20}{cos10}=?$$

Answered by bahmanfeshki1 last updated on 18/Mar/17

$$sin20+\sqrt{3}\times cos20=2\times cos(30-20)=2\times cos10$$$$\Rightarrow \frac{2cos10}{cos10}=2$$

Answered by malwaan last updated on 19/Mar/17

$$\frac{2(\frac{\sqrt{3}}{2}\times cos20+\frac{1}{2}\times \sin 20)}{\cos 10}$$$$=\frac{2(\cos 30\cos 20+\sin 30\sin 20)}{\cos 10}$$$$=\frac{2\cos (30-20)}{\cos 10}=\frac{2\cos 10}{\cos 10}=2$$

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