Consider the following statements :<br>I. \tan 50^\circ - \cot 50^\circ is positive<br>II. \cot 25^\circ - \tan 25^\circ is negative<br>Which of the statements is/are correct?
- A. I only ✓
- B. II only
- C. Both I and II
- D. Neither I nor II
Correct Answer: A. I only
Explanation
Statement I: Since 50^\circ \gt 45^\circ, \tan 50^\circ \gt 1 and \cot 50^\circ \lt 1, making their difference positive (True). Statement II: Since 25^\circ \lt 45^\circ, \cot 25^\circ \gt 1 and \tan 25^\circ \lt 1, making their difference positive, not negative (False).
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