Question : What is the value of $\frac{1+\sin ^2 45^{\circ}}{1-\cos ^2 45^{\circ}}$?
Option 1: $\frac{1}{2}$
Option 2: $3$
Option 3: $2$
Option 4: $\frac{3}{2}$
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Correct Answer: $3$
Solution :
$\frac{1+\sin ^2 45^{\circ}}{1-\cos ^2 45^{\circ}}$
= $\frac{1+\frac{1}{2}}{1-\frac{1}{2}}$
= $\frac{\frac{3}{2}}{\frac{1}{2}}$
= 3
Hence, the correct answer is $3$.
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