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Friday, 9 October

JEE Main Maths · Complex Numbers and Quadratic Equations

Conversion of sin(θ) + i cos(θ)

Conversion of sin(θ) + i cos(θ) (Complex Numbers and Quadratic Equations) was asked once in the 42 JEE Main shifts Lumi analysed, in 2020.

Times asked
1
in 1 shift
Years
2020
Usual format
Single correct
Multi-step
Pattern
Gone quiet
asked once so far

How it is asked

  • Power of complex ratio with trig terms

Difficulty

Easy 0Medium 1Hard 0

Where it sits

Chapter: Complex Numbers and Quadratic Equations. Topic: Complex Numbers - Polar Form, 15 questions over 7 ideas.

Other repeat ideas in this topic

Every time it came

The question

Newest first, each with its options and official answer.

  1. 2 Sep 2020, Shift 1 · Q53The value of (1+sin⁡2π9+icos⁡2π91+sin⁡2π9−icos⁡2π9)3\left(\frac{1+\sin\frac{2\pi}{9}+i\cos\frac{2\pi}{9}}{1+\sin\frac{2\pi}{9}-i\cos\frac{2\pi}{9}}\right)^{3} is :MediumSingle correct