Alerts Wishlist Cart

If z = 2(cos(π/4) + i sin(π/4)), find the rectangular form of z.

Practice Questions

Q1
If z = 2(cos(π/4) + i sin(π/4)), find the rectangular form of z.
  1. √2 + √2i
  2. 2 + 2i
  3. 1 + i
  4. 0 + 0i

Questions & Step-by-Step Solutions

If z = 2(cos(π/4) + i sin(π/4)), find the rectangular form of z.
  • Step 1: Start with the given equation z = 2(cos(π/4) + i sin(π/4)).
  • Step 2: Calculate cos(π/4) and sin(π/4). Both are equal to √2/2.
  • Step 3: Substitute the values of cos(π/4) and sin(π/4) into the equation: z = 2(√2/2 + i√2/2).
  • Step 4: Distribute the 2: z = 2 * (√2/2) + 2 * (i√2/2).
  • Step 5: Simplify the equation: z = √2 + √2i.
  • Step 6: The rectangular form of z is √2 + √2i.
No concepts available.
Biology (School & UG)
Biology (School & UG)
Chemistry (School & UG)
Chemistry (School & UG)
Civil Engineering
Civil Engineering
Commerce & Accountancy
Commerce & Accountancy
Computer Science & IT
Computer Science & IT
Current Affairs & GK
Current Affairs & GK
Data Structures & Algorithms
Data Structures & Algorithms
eBooks
eBooks
Electrical & Electronics Engineering
Electrical & Electronics Engineering
English (School)
English (School)
General Aptitude
General Aptitude
General Knowledge
General Knowledge
General Knowledge & Current Affairs
General Knowledge & Current Affairs
Languages & Literature
Languages & Literature
Law & Legal Studies
Law & Legal Studies
Major Competitive Exams
Major Competitive Exams
Mathematics (School)
Mathematics (School)
Mechanical Engineering
Mechanical Engineering
Medical Science
Medical Science
Physics (School & Undergraduate)
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Quantitative Aptitude & Reasoning
Social Science (School)
Social Science (School)
Technical
Technical
Verbal and Reasoning
Verbal and Reasoning
Vocational & Skill Development
Vocational & Skill Development
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely