Math, asked by judyhops, 1 year ago

solve cot^2A+cosA=sin^2A

Answers

Answered by 9959more
0

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)

Good luck !!!

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