Q78.A value of tan−1 (sin (cos−1 (√2 ))) (1) π (2) π 4 2 (3) π (4) π 3 6
What This Question Tests
This question requires evaluating a nested inverse trigonometric expression, starting from the innermost function and working outwards. It likely contains a typo and assumes the value 0 for cos⁻¹ argument to match options.
Concepts Tested
Formulas Used
cos⁻¹(0) = π/2
sin(π/2) = 1
tan⁻¹(1) = π/4
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Inverse Trigonometric Functions
- Topic
- Evaluation of inverse trigonometric expressions
- Year
- 2012
- Shift
- 19 May Online
- Q Number
- Q78
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 2: Inverse Trigonometric Functions
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