A) \[2\sqrt{3}-2\]
B) \[\sqrt{3}-2\]
C) \[2\sqrt{3}-1\]
D) \[\sqrt{3}-1\]
Correct Answer: A
Solution :
\[\frac{x}{\cos {{30}^{\text{o}}}}\,=\frac{y}{\sin {{30}^{\text{o}}}}=2\] \[x=\frac{2\sqrt{3}}{2}\,=\sqrt{3}\] \[y=1\] \[\frac{x}{\cos {{120}^{\text{o}}}}\,=\frac{y}{\sin {{120}^{\text{o}}}}\,=2\] \[x=-1,\,\,y=\sqrt{3}\] \[\frac{x}{\cos {{75}^{\text{o}}}}\,=\frac{y}{\sin {{75}^{\text{o}}}}=2\sqrt{2}\] \[x=\sqrt{3}-1\] \[y=\sqrt{3}+1\] \[sum\,=0+\sqrt{3}\,+\sqrt{3}-1+(-1)\] \[=2\sqrt{3}-2\]You need to login to perform this action.
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