Q21.Let S = {x : cos−1 x = π + sin−1 x + sin−1(2x + 1)}. Then ∑x∈ S(2x −1)2 is equal to ______.
What This Question Tests
This question tests the ability to solve an equation involving inverse trigonometric functions by applying domain restrictions and standard identities, and then evaluating an expression based on the solution set.
Concepts Tested
Formulas Used
sin⁻¹x + cos⁻¹x = π/2
Domain restrictions for sin⁻¹x, cos⁻¹x
📚 NCERT Sections This Tests
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Physics Class 11 · Chapter 2
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📋 Question Details
- Chapter
- Inverse Trigonometric Functions
- Topic
- Solving equations involving inverse trigonometric functions
- Year
- 2025
- Shift
- 29 Jan Shift 1
- Q Number
- Q21
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 2: Inverse Trigonometric Functions
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