0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

Convert the given complex number in polar form : 1i

Solution
Verified by Toppr

Given, z=1i
Let rcosθ=1andrsinθ=1
On squaring and adding, we obtain
r2cos2θ+r2sin2θ=12+(1)2
r2(cos2θ+sin2θ)=2
r2=2
r=2 (since,r>0 )
2cosθ=1 and 2sinθ=1
θ=π4 (As θ lies in fourth quadrant.)
So, the polar form is
1i=rcosθ+irsinθ=2cos(π4)+i2sin(π4)
=2[cos(π4)+isin(π4)]

Was this answer helpful?
20
Similar Questions
Q1
Convert the given complex number in polar form : 1i
View Solution
Q2
Convert the given complex number in polar form: 1i.
View Solution
Q3

Convert the given complex number in polar form: 1 – i

View Solution
Q4
Convert the given complex number in polar form : 1+i
View Solution
Q5
Convert the given complex number in polar form: i
View Solution