Q. 244.3( 3 Votes )

Write the argumen

Answer :

As we know that,


arg (z1z2) = arg(z1)+arg(z2) so,


arg (z1z2z3) = arg(z1)+arg(z2)+arg(z3)


arg((1+√3 i)(1+i)(cos θ+ i sin θ)


= arg(1+√3 i)+arg(1+i)+arg(cos θ + i sin θ).......... (1)



arg(z1 ) = θ



z2 = arg(1+i)






z3 = arg(cos θ + i sin θ)


1(cos θ + i sin θ)


arg(z3 ) = θ


In r(cos θ + i sin θ) , arg(z) = θ


By putting the value of all arg in 1, we get



Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Find the modulus RS Aggarwal - Mathematics

Find the modulus RS Aggarwal - Mathematics

Find the modulus RS Aggarwal - Mathematics

Find the modulus RS Aggarwal - Mathematics

Find the modulus RS Aggarwal - Mathematics

Find the modulus RS Aggarwal - Mathematics

Write 2i in polarRS Aggarwal - Mathematics

Find the principaRS Aggarwal - Mathematics