0

Guest

Courses New

The complex numbers s i n x + i c o s 2 x and c o s x − i s i n 2 x are conjugate to each other for

The complex numbers sinx+icos2x and cosx−isin2x are conjugate to each other for 

 
 
 
 
 

Grade:12

1 Answers

Govind Sharma
167 Points
3 years ago
z=e 
iθ
 
=cosx−isin2x
z 
2
​
 = 
z
 =e 
−iθ
 
=cosx+isin2x
=sinx+icos2x ....(given)
Comparing coefficients, we get
cosx=sinx and cos2x=sin2x
x= 
4
π
​
 , 
4
5π
​
 , 
4
9π
​
 ... and x= 
8
π
​
 , 
8
5π
​
 ..
The intersection of the solution sets is ϕ.
Therefore, there are no values of x satisfying the given conditions.

Think You Can Provide A Better Answer ?

Other Related Questions on Inorganic Chemistry

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More