2025 · Q24
Consider the following statements:
- I(cosec α - sec α) is always positive in the first quadrant.
- II(tan α - cot α) is always negative in the first quadrant.
Which of the statements given above is/are correct?"
Elementary MathematicsTrigonometry
- AI only
- BII only
- CBoth I and II
- DNeither I nor II
Explanation
For (I), cosecα − secα at α = π/4 equals 0, so it is not always positive on (0, π/2). For (II), tanα − cotα at α = π/4 equals 0, so it is not always negative. Hence neither statement is correct, option (d).