R and 6 are called polar co-ordinates oi z. 3+2isin 0 is 1-2isin 0 example find real 0 such that ) purely real and (ii) purely imaginary solution: 3+2i sin (3+2

Explain last two steps. r and 6 are called polar co-ordinates oI Z. 3+2isin 0 is 1-2isin 0 Example Find real 0 such that ) Purely Real and (ii) Purely Imaginary Solution: 3+2i sin (3+2isin 0)(1+ 2isin 0) 1+4 sin? Let Z = 1-2isin etisine 1+ 4 sin 0 1+4sin 0 3-4 sin0 8sin 0 Z= (i) z is purely real Im(z) = 0 sin 0 0 0 nt i) z is purely imaginary Re (z) = 0 3 sin 0 == sin2 0 = nT Tt 3