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

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

Text Solution

Verified by Experts

The correct Answer is:
polar form is `sqrt(2) (cos (5pi)/12 + I sin (5pi)/12)`
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT GUJARATI|Exercise EXERCISE 5.1|14 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT GUJARATI|Exercise EXERCISE 5.2|8 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISES ON CHAPTER 24|1 Videos

  • BINOMIAL THEOREM

    NCERT GUJARATI|Exercise Miscellanous exercise on chapter 8|10 Videos

  • CONIC SECTIONS

    NCERT GUJARATI|Exercise Miscellaneous Exercise|8 Videos

Similar Questions

Explore conceptually related problems

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

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

Let omega be the complex number cos((2pi)/3)+isin((2pi)/3) . Then the number of distinct complex numbers z satisfying Delta=|(z+1,omega,omega^2),(omega,z+omega^2,1),(omega^2,1,z+omega)|=0 is

Find the conjugate complex number of z=(1)/(i-1)

Convert each of the complex number in the polar form: 1-i

For complex number z =3 -2i,z + bar z = 2i Im(z) .

Find argument of the complex numbers z = sqrt3 + i

Convert each of the complex numbers given in the polar form. sqrt(3)-i

Convert each of the complex number in the polar form: sqrt(3)+i

Convert each of the complex number in the polar form: -1-i