Home
Class 11
MATHS
Convert the complex number z=(i-1)/(cos ...

Convert the complex number `z=(i-1)/(cos pi/3 + isinpi/3)` in the polar form.

Text Solution

Verified by Experts

The correct Answer is:
`sqrt(2)(cos (5pi)/12 + isin(5pi)/12)`.
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    SUBHASH PUBLICATION|Exercise TWO MARKS QUESTIONS WITH ANSWERS|10 Videos
  • CIRCLES

    SUBHASH PUBLICATION|Exercise EXERCISE (2/3 MARKS QUESTIONS WITH ANSWERS)|13 Videos
  • I PUC ANNUAL EXAMINATION QUESTION PAPER -2019 ( SOUTH )-10

    SUBHASH PUBLICATION|Exercise Part-E|4 Videos

Similar Questions

Explore conceptually related problems

Convert the complex number -1-i into polar form ?

Convert the complex number -1+i in the polar form ?

Represent the complex number Z = (1)/(1 + i) in the polar form.

Represent the complex number Z = 1 = isqrt(3) in the polar form .

Convert (1-i)/( cos ""( pi)/( 3) +i sin ""(pi)/(3)) into polar form

Convert the complex number -16/(1+isqrt(3)) into polar form.

Let omega be the complex number cos (2 pi)/(3)+i sin (2 pi)/(3) . Then the number of distinct complex number z satisfying [[z+1,omega,omega^(2)],[omega,z+omega^2,1],[omega^(2),1,z+omega]] = 0 is equal to

Represent the complex number (2+6sqrt3i)/(5+sqrt3i) in polar form.

Convert (1+7i)/(2-i)^2 in the polar form.

Convert each of the complex number in the polar form: i