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anshu rawat Grade: 11
        

CosA-SinA+1/CosA+SinA-1=CosecA+CotA


 

7 years ago

Answers : (1)

swapnil sudhir
31 Points
										

(cosA-sinA)+1/(cosA+sinA)-1


taking conjugate


(cosA-sinA)+1/(cosA+sinA)-1  *  (cosA+sinA)+1/(cosA+sinA)+1


 


multiplying we get


=cos2A-sin2A+2cosA+1/2sinAcosA


=cos2A-sin2A+2cosA+sin2A+cos2A/2sinAcosA                  


on solving we get


 


=2cos2A+2cosA/2sinAcosA


=taking 2 common and divided


 


we get


 


=cosA+cos2A/sinAcosA


 


we can alsom write in the form of


cosA/sinAcosA  +cos2A/sinAcosA


 


on  solving we get


CosecA+cotA =R.H.S


 


 


by swapnil sudhir





7 years ago
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