Prove that $\frac{1+\sin \frac{3\pi }{8}+\mathrm{i}\cos \frac{3\pi }{8}}{1+\sin \frac{3\pi }{8}-\mat

Question

Prove that $\frac{1+\sin \frac{3\pi }{8}+\mathrm{i}\cos \frac{3\pi }{8}}{1+\sin \frac{3\pi }{8}-\mathrm{i}\cos \frac{3\pi }{8}}=\cos \frac{\pi }{8}+\mathrm{i}\sin \frac{\pi }{8}$.

Accepted Answer

$\cos\frac{\pi}{8} + \mathrm{i}\sin\frac{\pi}{8}$

2015 RI P1 Q6(b) [Modified]

2015 RI P1 Q6(b) [Modified]

Video Solution: