Question

$\frac{1-cos^260^\circ}{1+cos^260^\circ}+sec^260^\circ$ এর মান কত?

Answer 1

প্রদত্ত রাশি,
$\frac{1-cos^260^\circ}{1+cos^260^\circ}+sec^260^\circ$

$=\frac{1-\left(\frac12\right)^2}{1+\left(\frac12\right)^2}+\left(2\right)^2$

$=\frac{1-\frac14}{1+\frac14}+4$

$=\frac{\frac{4-1}4}{\frac{4+1}4}+4$

$=\frac{\frac34}{\frac54}+4$

$=\left(\frac34 \times \frac45\right)+4$

$=\frac35+4$

$=\frac{3+20}5$

$=\frac{23}5$

$=4\frac{3}5$

$\therefore$ নির্ণেয় মান $4\frac{3}5$