Question

sinθ cosec θ = ?




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Answer 1

$</p><p></p><p> \sf \rightarrow \quad sin \: \theta \cdot cosec \: \theta </p><p></p><p>\\ \\</p><p></p><p> \sf \rightarrow \quad \cancel{sin \: \theta} \cdot \dfrac{1}{ \cancel{sin \: \theta} } \sf \qquad \because \: sin \: \theta = \dfrac{1}{cosec \: \theta } \\ \\ \sf \rightarrow \quad 1</p><p></p><p>$

Answer 2

$\csc( \alpha ) = \frac{1}{ \sin( \alpha ) }$

$\sin( \alpha ) \csc( \alpha ) = \sin( \alpha ) \times \frac{1}{ \sin( \alpha ) } = 1$