Question

if sinx=√3cosx Prove that sinx+cosx=(√3+1)/2​

Answer 1

$\tan(60) = \sqrt{3} \\ \sin(60) = \frac{ \sqrt{3} }{2} \\ \cos(60) = \frac{1}{2}$

I used these formulae hope you very well know this and here is your proof

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Answer 2

Answer:

solve x.

Step-by-step explanation:

sinx=√3cosx

=>$\frac{sinx}{cosx}$=√3

=>tanx=√3=tan$\frac{\pi }{3}$      

=>x=$\frac{\pi }{3}$

⁂sinx+cosx=sin$\frac{\pi }{3}$ +cos$\frac{\pi }{3}$=$\frac{\sqrt{3} }{2}$+$\frac{1}{2}$=$\frac{(\sqrt{3}+1) }{2}$

=> sinx+cosx=$\frac{(\sqrt{3}+1) }{2}$