1/(sin a+ cos a)+(1/sina -cos a)=2 sin a/1-2cos square a

1.	1/(sin a+ cos a)+(1/sina -cos a)=2 sin a/1-2cos square a
Answer» Hi ! From LHS :- = 1/(SINA+ COSA) + 1/(sinA- cosA) = SinA-cosA+sinA+cosA/(sin²A - cos²A) , {LCM taken } = 2SINA/(1-cos²A-cos²A) °•° sin²A= 1-cos²A = 2sinA/ 1-2cos²A LHS = RHS PROVED _________________________ Hope it's HELPFUL

Answer»

Hi !

From LHS :-

= 1/(SINA+ COSA) + 1/(sinA- cosA)

= SinA-cosA+sinA+cosA/(sin²A - cos²A) , {LCM taken }

= 2SINA/(1-cos²A-cos²A) °•° sin²A= 1-cos²A

= 2sinA/ 1-2cos²A

LHS = RHS PROVED

_________________________

Hope it's HELPFUL

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1/(sin a+ cos a)+(1/sina -cos a)=2 sin a/1-2cos square a​