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slava [35]
2 years ago
11

Find the solution Sin(tan-1 0)

Mathematics
1 answer:
Ainat [17]2 years ago
8 0
\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 ]
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