Question

The value of \(\frac{1 - \tan^2 45^\circ}{1 + \tan^2 45^\circ}=\)

• A. 0
• B. -1
• C. 1
• D. 2

Answer 1

The Correct Option is A

To solve this problem, we need to evaluate the expression:

1. Given Expression:
\[ \frac{1 - \tan^2 45^\circ}{1 + \tan^2 45^\circ} \]

2. Use the Known Value:
We know that:
\[ \tan 45^\circ = 1 \Rightarrow \tan^2 45^\circ = 1 \]

3. Substitute into the Expression:
\[ \frac{1 - 1}{1 + 1} = \frac{0}{2} = 0 \]

Final Answer:
Option (A) 0 is correct.