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99 Percentile Qs Bank for JEE MainMathematicsInverse Trigonometric Functions

If f x = sin - 1 cosec sin - 1 x + cos - 1 sec cos - 1 x , then f ( x ) takes:

Options

  1. Aexactly two values
  2. Bone value
  3. Cundefined
  4. Dinfinite values

Correct answer

B. one value

Step-by-step solution

Given that: f x = sin - 1 cosec sin - 1 x + cos - 1 sec cos - 1 x Clearly f ( x ) is defined only for x = ± 1 and f 1 = f - 1 = π 2 So, both values give the same result. Therefore, it has only one value to take.

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