Question

if z = 1/1-costhita-isinthita then z = ​

Answer 1

Answer:

2isinnθ

Step-by-step explanation:

We have  

z

1

​  

=  

cosθ+isinθ

1

​  

=cosθ−isinθ

∴z  

n

=(cosθ+isinθ)  

n

=cosnθ+isinnθ

and  

z  

n

 

1

​  

=(cosθ−isinθ)  

n

=cosnθ−isinnθ

Hence z  

n

+  

z  

n

 

1

​  

=2cosnθ and z  

n

−  

z  

n

 

1

​  

=2isinnθ

Answer 2

Answer:

cosec^2thita+cotthitasecthita-isinthita