Question

1+cosec π/4+ cosecπ/8+ cosecπ/16​

Answer 1

Answer:

Step-by-step explanation:

csc  

32

π

​  

+csc  

16

π

​  

+csc  

8

π

​  

+csc  

4

π

​  

+csc  

2

π

​  

=cot  

K

π

​  

 

⇒cscθ+cotθ=cot  

2

θ

​  

 

⇒  using this property

LHS

⇒csc  

3

π

​  

+cos  

16

π

​  

+csc  

8

π

​  

+csc  

4

π

​  

+csc  

2

π

​  

+cot  

2

π

​  

−cot  

2

π

​  

 

⇒csc  

32

π

​  

+csc  

16

π

​  

+csc  

8

π

​  

+cot  

8

π

​  

−0

[cot  

2

π

​  

=0]

⇒csc  

32

π

​  

+csc  

16

π

​  

+cot  

16

π

​  

 

=csc  

32

π

​  

+cot  

32

π

​  

 

=cot  

164

π

​  

 

RHS=cot  

K

π

​  

 

On comparing we get [K=64]

pls mark me as the brainliest