Home
Class 12
MATHS
Find the rectangular form of the complex...

Find the rectangular form of the complex numbers.
`(cos" " (pi)/(6) + i sin" " (pi)/(6)) (cos" " (pi)/(12) + i sin" " (pi)/(12))`

Text Solution

Verified by Experts

The correct Answer is:
(i) `1/(sqrt2) (1 + i)`
(ii) `-i/2`
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    FULL MARKS|Exercise EXERCISE - 2.8|10 Videos
  • COMPLEX NUMBERS

    FULL MARKS|Exercise EXERCISE - 2.9|25 Videos
  • COMPLEX NUMBERS

    FULL MARKS|Exercise EXERCISE - 2.6|5 Videos
  • APPLICATIONS OF VECTOR ALGEBRA

    FULL MARKS|Exercise Additional Questions Solved|59 Videos
  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    FULL MARKS|Exercise Additional Questions Solved|29 Videos

Similar Questions

Explore conceptually related problems

Find the rectangular form of the complex numbers. (cos" " (pi)/(6) - i sin" " (pi)/(6))/(2(cos" " (pi)/(3) + i sin" " (pi)/(3)))

Write in polar form of the complex numbers. ( i-1)/(cos" "(pi)/(3) + i sin " "(pi)/(3))

If z = cos (pi)/(4) + i sin (pi)/(6) , then

Find the value of ((1 + sin"" (pi)/(10) + i cos"" (pi)/(10))/(1 + sin"" (pi)/(10) - i cos"" (pi)/(10)))^(10) .

Find the principal argument of the complex number sin(6pi)/5+i(1+cos(6pi)/5)dot

2 sin ^(2) "" (pi)/(6) + cosec ^(2) "" (7pi)/(6) cos ^(2) "" (pi)/(3) = 3/2