Question
Find the value of $'A\ ',$ if $(1 - \operatorname{cosec} A)(2 - \sec A) = 0$
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Answer
$(1 - \operatorname{cosec} A)(2 - \sec A) = 0$
$\Rightarrow 1 - \operatorname{cosec} A = 0$ and $2 - \sec A = 0$
$\Rightarrow \operatorname{cosec} A = 1$ and $\sec A = 2$
$\Rightarrow \operatorname{cosec} A = \operatorname{cosec} 90^\circ$ and $\sec A = \sec 60^\circ$
$\Rightarrow A = 90^\circ$ and $A = 60^\circ .$
$\Rightarrow 1 - \operatorname{cosec} A = 0$ and $2 - \sec A = 0$
$\Rightarrow \operatorname{cosec} A = 1$ and $\sec A = 2$
$\Rightarrow \operatorname{cosec} A = \operatorname{cosec} 90^\circ$ and $\sec A = \sec 60^\circ$
$\Rightarrow A = 90^\circ$ and $A = 60^\circ .$
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