Q69.Given that the inverse trigonometric functions take principal values only. Then, the number of real values of x which satisfy sin−1( 3x5 ) + sin−1( 4x5 ) = sin−1 x is equal to: (1) 2 (2) 1 (3) 3 (4) 0
What This Question Tests
The question requires solving an equation involving inverse trigonometric functions, focusing on the use of identities and considering principal values.
Concepts Tested
Formulas Used
sin⁻¹(a) + sin⁻¹(b) = sin⁻¹(a√(1-b²) + b√(1-a²))
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Inverse Trigonometric Functions
- Topic
- Properties of inverse trigonometric functions
- Year
- 2021
- Shift
- 16 Mar Shift 2
- Q Number
- Q69
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 2: Inverse Trigonometric Functions
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