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

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

Posted by Legend Raj 7 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Hardik Panwar 7 years, 2 months 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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