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

1 + i tan α

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

tan α - i

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

1 - sin α + i cos α

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{1 - i}{cos \frac{π}{3} + i sin \frac{π}{3}}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct options are
A $1 + i tan α$
B $tan α - i$
C $1 - sin α + i cos α$
D $\frac{1 - i}{cos \frac{π}{3} + i sin \frac{π}{3}}$

Suggest Corrections

Similar questions

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

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

\frac{1 - i}{\cos \frac{π}{3} + i \sin \frac{π}{3}}

r (cos θ + i sin θ)

α

r (cos θ + i sin θ)

α

α

Join BYJU'S Learning Program