Question

মান নির্ণয় কর: $3cot^260^\circ+\frac14cosec^230^\circ+$$5sin^245^\circ-4cos^260^\circ$

Answer 1

প্রদত্ত রাশি,
$3cot^260^\circ+\frac14cosec^230^\circ$$+5sin^245^\circ-4cos^260^\circ$

$=3 \cdot \left(\frac{1}{\sqrt3}\right)^2 + \frac{1}{4} \cdot (2)^2 $$+ 5 \cdot \left(\frac{1}{\sqrt2}\right)^2 - 4 \cdot \left(\frac{1}{2}\right)^2$

$=3 \cdot \frac{1}{3} + \frac{1}{4} \cdot 4 $$+ 5 \cdot \frac{1}{2} - 4 \cdot \frac{1}{4}$

$=1 + 1 + \frac{5}{2} - 1$

$=1 + \frac{5}{2}$

$=\frac{2+5}{2}$

$=\frac{7}{2}$

$=3\frac{1}{2}$

$\therefore$ নির্ণেয় সমাধান $3\frac{1}{2}$