Question

$\frac{1-sin^245^{\circ}}{1+sin^245^{\circ}}+tan^245^{\circ}$ এর মান নির্ণয় কর।

Answer 1

প্রদত্ত রাশি,

$\frac{1-sin^245^{\circ}}{1+sin^245^{\circ}}+tan^245^{\circ}$

$=\frac{1-\left(\frac{1}{\sqrt2}\right)^2}{1+\left(\frac{1}{\sqrt2}\right)^2}+\left(1\right)^2$

$=\frac{1-\frac12}{1+\frac12}+1$

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

$=\frac{\frac12}{\frac32}+1$

$=\left(\frac12\times\frac23\right)+1$

$=\frac13+1$

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

$=\frac43$ [Answer]