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If $tan\theta$ = $\frac{1}{\sqrt{11}}$ , $0 < \theta < \frac{\pi}{2}$ , then the value of $\frac{cosec^{2}\theta - sec^{2}\theta}{cosec^{2}\theta + sec^{2}\theta}$ then the value of is

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If $tan\theta$ = $\frac{1}{\sqrt{11}}$ , $0 < \theta < \frac{\pi}{2}$ , then the value of $\frac{cosec^{2}\theta - sec^{2}\theta}{cosec^{2}\theta + sec^{2}\theta}$ then the value of is
1). $\frac{3}{4}$
2). $\frac{4}{5}$
3). $\frac{5}{6}$
4). $\frac{6}{7}$

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2 answers

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Answered by on | Votes 3 |
$\frac{4}{5}$ is the correct answer as per the ssc answer key

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Answered by on | Votes 0 |

tan$\theta$ = $\frac{1}{\sqrt{11}}$ , cot$\theta$ =  $\sqrt{11}$

$\frac{cosec^{2}\theta-sec^{2}\theta}{cosec^{2}\theta+sec^{2}\theta}$
$\frac{cot^{2}\theta-tan^{2}\theta}{cot^{2}\theta+tan^{2}\theta+2}$
$\frac{(\sqrt{11})^{2}-\frac{1}{(\sqrt{11})^{2}}}{(\sqrt{11})^{2}+\frac{1}{(\sqrt{11})^{2}}+2}$ = $\frac{5}{6}$ .




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