Math, asked by chiragmt14, 5 months ago

Prove that
tan 2a+cosec a.cos a= cot a.sec 2a​

Answers

Answered by Anonymous
1

Answer:

LHS=tan  

2

A+cot  

2

A  

          =  

cos  

2

A

sin  

2

A

​  

+  

sin  

2

A

cos  

2

A

​  

 

           =  

sin  

2

Acos  

2

A

sin  

4

A+cos  

4

A

​  

 

           =  

sin  

2

Acos  

2

A

(sin  

2

A+cos  

2

A)  

2

−2sin  

2

Acos  

2

A

​  

 

            =  

sin  

2

Acos  

2

A

1−2sin  

2

Acos  

2

A

​  

 

            =  

cos  

2

A

1

​  

.  

sin  

2

A

1

​  

−2

            =sec  

2

A.cosec  

2

A−2

            =RHS

Hence proved

Step-by-step explanation:

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