2024 · Q13
Consider the following statements :
- Itan 50° - cot 50° is positive
- IIcot 25° - tan 25° is negative Which of the statements is/are correct?
Elementary MathematicsTrigonometry
- AI only
- BII only
- CBoth I and II
- DNeither I nor II
Explanation
tan50° > tan45° = 1 while cot50° = 1/tan50° < 1, so tan50° − cot50° > 0: statement I is correct. Similarly cot25° = tan65° > 1 > tan25°, so cot25° − tan25° > 0, making statement II ('is negative') false. Only I is correct — option A.