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$secA+tanA=\frac{5}{2}$ হলে, $secA-tanA$ এর মান নির্ণয় কর।

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দেওয়া আছে,
$secA+tanA=\frac{5}{2}$

আমরা জানি,
বা, $sec^2A=1+tan^2A$

বা, $sec^2A-tan^2A=1$

বা, $(secA+tanA)(secA-tanA)=1$

বা, $\frac{5}{2} \cdot (secA-tanA)=1$

বা, $(secA-tanA)=1 \cdot \frac{2}{5}$

$\therefore secA-tanA=\frac{2}{5}$

অর্থাৎ নির্ণেয় মান $\frac{2}{5}$ [Answer]

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