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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Trignometry
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In a $\Delta ABC$ the value of the expression $cosec A(\sin B\cos C+\cos B\sin C)$ is


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Given expression =$cosec A(\sin B\cos C+\cos B\sin C)$
$\sin(B+C)=\sin B\cos C+\cos B\sin C$
$\Rightarrow cosec A(\sin(B+C)$
$\Rightarrow cosec A\sin(\pi-A)$
Since $A+B+C=\pi$
$\Rightarrow cosec A.\sin A$
$\Rightarrow 1$
Hence (a) is the correct option.
answered Oct 9, 2013 by sreemathi.v

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