Q72.If (sin−1 x)2 −(cos−1 x)2 = a; 0 < x < 1, a ≠0, then the value of 2x2 −1 is (1) cos( 2aπ ) (2) sin( 2aπ ) (3) cos( 4aπ ) (4) sin( 4aπ )
What This Question Tests
The question requires applying the fundamental identity between sin⁻¹x and cos⁻¹x to simplify the given expression and then relate it to a trigonometric function of 'a'.
Concepts Tested
Formulas Used
sin⁻¹x + cos⁻¹x = π/2
cos(2θ) = 2cos²θ - 1
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📋 Question Details
- Chapter
- Inverse Trigonometric Functions
- Topic
- Inverse Trigonometric Identities
- Year
- 2021
- Shift
- 27 Aug Shift 1
- Q Number
- Q72
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 2: Inverse Trigonometric Functions
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