Q69. tan(2 tan−1 51 + sec−1 √52 + 2 tan−1 18 ) is equal to: (1) 1 (2) 2 (3) 1 (4) 5 4 4
What This Question Tests
This question assesses the ability to simplify a complex trigonometric expression involving inverse trigonometric functions by converting them to a common form and applying summation formulas.
Concepts Tested
Formulas Used
2tan⁻¹x = tan⁻¹(2x / (1-x²))
sec⁻¹x = tan⁻¹(√(x²-1))
tan⁻¹x + tan⁻¹y = tan⁻¹((x+y)/(1-xy))
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📋 Question Details
- Chapter
- Inverse Trigonometric Functions
- Topic
- Properties of Inverse Trigonometric Functions
- Year
- 2022
- Shift
- 26 Jul Shift 1
- Q Number
- Q69
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 2: Inverse Trigonometric Functions
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