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The value of $\cos^{-1}\bigg(\cos\frac{3\pi}{2}\bigg)$ is equal to:

\[(A)\quad\frac{\pi}{2}\quad(B)\quad\frac{3\pi}{2}\quad(C)\quad\frac{5\pi}{2}\quad(D)\quad\frac{7\pi}{2}\]
Can you answer this question?
 
 

1 Answer

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Toolbox:
  • Principal interval of cos is \([0,\pi]\)
  • sin0=0
  • \(cos^{-1}0=\large\frac{\pi}{2}\)
  • \(cos\large\frac{3\pi}{2}=0\)
Ans (A) \( \large\frac{\pi}{2} \)
\(\large\frac{3\pi}{2}\) is not in the principal interval.
\(cos\large\frac{3\pi}{2}=0\)
\( \Rightarrow\:cos^{-1}\: cos\large\frac{3\pi}{2}=cos^{-1}0=\large\frac{\pi}{2}\)

 

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