Math, asked by tc958538, 1 day ago

prove that √1-cosO/=cosecO-cotO
√1+cosO​

Answers

Answered by realchi2007
0

Answer:

We need to prove  

1+cosA

1−cosA

 

=cosecA−cotA

By taking L.H.S. =  

1+cosA

1−cosA

 

 

                          =  

1+cosA

1−cosA

×  

1−cosA

1−cosA

 

 

                          =  

1−cos  

2

A

(1−cosA)  

2

 

 

 

                          =  

sin  

2

A

(1−cosA)  

2

 

 

 

                          =  

sinA

1−cosA

 

                          =  

sinA

1

−  

sinA

cosA

 

                          =cosecA−cotA= R.H.S.          

   

Hence, proved

Step-by-step explanation:

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