Q70.The value of tan(2 tan−1( 53 ) + sin−1( 135 )) is equal to: (1) −181 (2) 220 69 21 (3) −291 (4) 151 76 63
What This Question Tests
This question requires simplifying an expression involving inverse trigonometric functions. It tests the ability to convert inverse sine to inverse tangent and apply the double angle formula for inverse tangent, followed by the tangent addition formula.
Concepts Tested
Formulas Used
2tan⁻¹x = tan⁻¹(2x/(1-x²))
sin⁻¹x = tan⁻¹(x/√(1-x²))
tan(A+B) = (tan A + tan B) / (1 - tan A tan B)
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📋 Question Details
- Chapter
- Inverse Trigonometric Functions
- Topic
- Sum and difference formulas for inverse trigonometric functions
- Year
- 2021
- Shift
- 20 Jul Shift 2
- Q Number
- Q70
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 2: Inverse Trigonometric Functions
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