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Simplify : $ \cos^{-1} \bigg(\large \frac{3}{5}$$ \cos \theta +\large \frac{4}{5}$$ sin \theta \bigg) $

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1 Answer

Toolbox:
  • Take \( \large\frac{3}{5}=cosA\)
  • \( \Rightarrow \large\frac{4}{5}=sinA\)
  • \(cosAcosB+sinAsinB=cos(A-B)\)
\( cos^{-1}cos(A-\theta)\)
\( A-\theta\)
\( = cos^{-1}\large\frac{3}{5}-\theta\)

 

answered Feb 28, 2013 by thanvigandhi_1
edited Mar 19, 2013 by thanvigandhi_1
 

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