Search any question & find its solution
Question:
Answered & Verified by Expert
$\frac{1-i}{1+i}$ is equal to
Options:
Solution:
1400 Upvotes
Verified Answer
The correct answer is:
$\cos \frac{\pi}{2}-i \sin \frac{\pi}{2}$
$\frac{1-i}{1+i}=\frac{(1-i)(1-i)}{(1+i)(1-i)}=\frac{1+(i)^2-2 i}{1+1}=-i$
which can be written as $\cos \frac{\pi}{2}-i \sin \frac{\pi}{2}$
which can be written as $\cos \frac{\pi}{2}-i \sin \frac{\pi}{2}$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.