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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: $\frac{3}{2}$


Team Careers360 12th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

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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