Math, asked by rishab9002, 1 year ago

PROVE:SINA +COSA/SINA-COSA +SINA-COSA/SINA+COSA=2/1-2COS2A

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Answered by KartikSharma13
34
(sin A - cos A)/(sin A + cos A) + (sin A + cos A)/(sin A - cos A) 

( sin A - cos A ) ² + ( sin A + cos A ) ² 
---------------------------------------... 
( sin A + cos A ) ( sin A - cos A ) 

sin²A - 2sinA cosA + cos²A + sin²A + 2 sinAcosA + cos²A 
---------------------------------------... 
( sin A + cos A ) ( sin A - cos A ) 


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sin ² A - cos ² A 


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2 sin ² A - 1 
Answered by MdAliyan
10

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