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prove that cotA -cosA/cotA + cosA = cosecA-1/cosecA+1

prove that


cotA -cosA/cotA + cosA = cosecA-1/cosecA+1


 

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1 Answers

RAGHVAN DAS
40 Points
11 years ago

(cotA -cosA)/(cotA + cosA) = (cosecA-1)/(cosecA+1)

 

(cotA -cosA)/(cotA + cosA)

((cosA/sinA)-cosA)/((cosA/sinA)-cosA)            cotA=cosA/sinA

taking cosA common from numretor nd denominatr nd cancelling it we get

 

((1/sinA)-1)/((1/sinA)+1)     since 1/sinA=cosecA 

therfore 

 (cosecA-1)/(cosecA+1)

 

 

 

 

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