Question

prove: TanA + Cot2A =Cosec2A

Answer 1

cot 2A + tan A 

= cos 2A/sin 2A + sin A/cos A 

= (cos 2A cos A + sin 2A sin A) / sin 2A cos A 

Using the compound angle formulae, 

we know that cos (2A - A ) = cos 2A cos A + sin 2A sin A... 

therefore, 

= cos (2A - A) / sin 2A cos A 
= cos A / sin 2A cos A 
= 1/ sin 2A 
= cosec 2A ( proven) 

Answer 2

Answer:

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