Question

$cos45^\circ \cdot cot^260^\circ \cdot cosec^230^\circ$ এর মান কত?

Answer 1

প্রদত্ত রাশি,
$cos45^\circ \cdot cot^260^\circ \cdot cosec^230^\circ$

$=\frac{1}{\sqrt2} \cdot \left(\frac{1}{\sqrt3}\right)^2 \cdot \left(2\right)^2$

$=\frac{1}{\sqrt2} \cdot \frac13 \cdot 4$

$=\frac{4}{3\sqrt2}$

$=\frac{4}{3\sqrt2} \times \frac{\sqrt2}{\sqrt2}$

$=\frac{4\sqrt2}{3 \times 2}$

$=\frac{2\sqrt2}{3}$

$\therefore$ নির্ণেয় মান $\frac{2\sqrt2}{3}$