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The value of the expression $2\sec^{-1}2+\sin^{-1}\frac{1}{2}$ is:

\[(A)\quad\frac{\pi}{6}\quad(B)\quad\frac{5\pi}{6}\quad(C)\quad\frac{7\pi}{6}\quad(D)\quad 1\]
Can you answer this question?
 
 

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Toolbox:
  • \( sin^{-1}\large\frac{1}{2}=\large\frac{\pi}{6},\)
  • \(sec^{-1}2=\large\frac{\pi}{3}\)
Ans (B) \( \large\frac{5\pi}{6}\)
 
Substituting the above values we get
\( 2.\large\frac{\pi}{3}+\large\frac{\pi}{6}=\large\frac{5\pi}{6}\)

 

answered Feb 18, 2013 by thanvigandhi_1
edited Mar 16, 2013 by thanvigandhi_1
 
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