Express the following complex numbers in the form r(cos θ+i sin θ).

1.	Express the following complex numbers in the form r(cos θ+i sin θ). (i) 1+i tan θ(ii) tan α−i(iii) 1−sin α+i cos α(iv) 1−icosπ3+i sinπ3
Answer» Express the following complex numbers in the form $r (c o s θ + i s i n θ)$ . $(i) 1 + i t a n θ (i i) t a n α - i (i i i) 1 - s i n α + i c o s α (i v) \frac{1 - i}{c o s \frac{π}{3} + i s i n \frac{π}{3}}$

Express the following complex numbers in the form r(cos θ+i sin θ). (i) 1+i tan θ(ii) tan α−i(iii) 1−sin α+i cos α(iv) 1−icosπ3+i sinπ3

Answer»

Express the following complex numbers in the form $r (c o s θ + i s i n θ)$ .

$(i) 1 + i t a n θ (i i) t a n α - i (i i i) 1 - s i n α + i c o s α (i v) \frac{1 - i}{c o s \frac{π}{3} + i s i n \frac{π}{3}}$