katerose1999
katerose1999 katerose1999
  • 03-07-2017
  • Mathematics
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Find the solution Sin(tan-1 0)

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jdoe0001 jdoe0001
  • 03-07-2017
[tex]\bf sin\left[ tan^{-1}(0) \right]\textit{ now, if }tan^{-1}(0)=\theta \textit{ that simply means }tan(\theta )=0 \\\\\\ tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)}\impliedby \begin{array}{llll} \textit{because of that, tangent is only 0}\\ \textit{when sine is 0} \end{array} \\\\\\ \textit{and sine is 0 only at }\quad \boxed{0,\pi ,2\pi} \textit{ on the interval of }[0,2\pi ][/tex]
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