Home
Class 12
MATHS
if z = cos ""pi/4 + i sin""pi/6 then...

if ` z = cos ""pi/4 + i sin""pi/6` then

A

`|z|=1 , arg(z)= pi/4`

B

`|z|=1, arg(z)= pi/6`

C

`|z|=sqrt3/2, arg(z)= (5pi)/24`

D

`|z| = sqrt3/2 , arg(z)= tan^(-1)1/sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment (Section -B) (objective Type Questions ( one option is correct)|78 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise Assignment (Section -C) (objective Type Questions ( more thena one options are correct )|35 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise Try Yourself|60 Videos
  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-J) Objective type question (Aakash Challengers Questions)|4 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION - J ( Aakash Challengers Questions )|14 Videos

Similar Questions

Explore conceptually related problems

If z = cos"" pi/4+ isin (pi/6) ,then

z = (1+cos6 pi)+i sin6 pi

Write the complex number z = (i-1)/(cos pi/3 + i sin pi/3) in polar form.

z=cos(pi/6)+isin(pi/6)=?

If z=1+cos((pi)/(5))+i sin((pi)/(5)) then sin(argz) is equal to

sin ""(pi)/(4) cos ""(pi)/(12) - cos ""(pi)/(4) sin ""(pi)/(12) is equal to

Let z = a("cos"(pi)/(5) + "i sin" (pi)/(5)),a in R, |a| lt 1 , then S = z^(2015) + z^(2016) + z^(2017) + ... equals

sin pi/3 = 2sin pi/6 cos pi/6