Q62.The value of ( 1+sin 2π9 −i cos 2π9 ) is (1) −1 (2) 1 2 (1 −i√3) 2 (1 −i√3) (3) −1 + i) 2 (√3 −i) (4) 12 (√3
What This Question Tests
This question tests the ability to manipulate complex numbers using trigonometric identities to simplify the given expression into a standard form, potentially using Euler's form.
Concepts Tested
Formulas Used
e^(iθ) = cosθ + i sinθ
1 + cosθ = 2cos²(θ/2)
sinθ = 2sin(θ/2)cos(θ/2)
cos(π/2 - x) = sin x
sin(π/2 - x) = cos x
📚 NCERT Sections This Tests
2.2 — A Regular Hexagon Of Side 10 Cm Has A Charge 5 Mc At Each Of Its
Physics Class 11 · Chapter 2
2.2 A regular hexagon of side 10 cm has a charge 5 mC at each of its vertices. Calculate the potential at the centre of the hexagon.
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Chemistry Class 11 · Chapter 5
5.12 Write all the geometrical isomers of [Pt(NH3)(Br)(Cl)(py)] and how many of these will exhibit optical isomers?
9.21 — At What Angle Should A Ray Of Light Be Incident On The Face Of A Prism
Physics Class 12 · Chapter 9
9.21 At what angle should a ray of light be incident on the face of a prism of refracting angle 60° so that it just suffers total internal reflection at the other face? The refractive index of the material of the prism is 1.524.
📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Properties of complex numbers
- Year
- 2023
- Shift
- 24 Jan Shift 2
- Q Number
- Q62
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations; Class 11 Mathematics Ch 3: Trigonometric Functions
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