Question

Raju said that sin41. cosec 41=1 . Do you agree with Raju ?​

Answer 1

$\underline{\textbf{Given:}}$

$\textsf{Raju's statement is}$

$\mathsf{"sin41^\circ\;cosec41^\circ=1"}$

$\underline{\textbf{To find:}}$

$\textsf{Whether the given is correct or not }$

$\underline{\textbf{Solution:}}$

$\textsf{Consider,}$

$\mathsf{sin41^\circ\;cosec41^\circ}$

$\mathsf{using,}\;\;\boxed{\mathsf{cosec\theta=\dfrac{1}{sin\theta}}}$

$\mathsf{=sin41^\circ{\times}\dfrac{1}{sin41^\circ}}$

$\mathsf{=1}$

$\implies\mathsf{sin41^\circ\;cosec41^\circ=1}$

$\therefore\textsf{Raju's statement is correct}$

$\textbf{So, I agree with raju}$

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