Home
Class 11
MATHS
Find real theta such that (3 + 2i sin th...

Find real `theta` such that `(3 + 2i sin theta)/(1-2i sin theta)` is purely real.

Text Solution

Verified by Experts

The correct Answer is:
`theta = npi, n in Z`
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

Find real value of theta for which (3+2i sin theta)/(1-2i sin theta) is purely real.

(sin theta+i cos theta)^(9) =

If the complex number (1-i sin theta)/(1+2 i sin theta) is purely imaginary, then the principal value of theta is

The real value of alpha for which the expression (1-i sin alpha)/(1+2 i sin alpha) is purely real is

Find the value of sec^(2)theta(1+sin theta)(1-sin theta)

(sin 2 theta)/(1-cos 2 theta)=cot theta

The real value of theta for which the expression is (1+icos theta)/(1-i cos theta) is a real number is

(1-cos theta)/(sin theta)=(sin theta)/(1+cos theta)

(1-cos theta)/(sin theta)=(sin theta)/(1+cos theta)

(1+cos 2 theta)/(sin 2 theta)=cot theta