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Question

Consider the following statements:

I. (cscα - secα) is always positive in the first quadrant.

II. (tanα - cotα) is always negative in the first quadrant.
Which of the statements given above is/are correct?

This question was previously asked in
CDS 2 2025 Maths Question Paper (14-Sep-2025)
The correct answer is

Neither I nor II

Both statements are incorrect because (cscα - secα) and (tanα - cotα) do not always satisfy the conditions given in the first quadrant. Hence, the correct answer is (d) Neither I nor II.

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Important Questions from Trigonometric Ratios and Identities

  1. What is the ratio of the greatest to the smallest value of 2 – 2 sin x – sin 2x, 0 ≤ x ≤ (π/2)? 

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