Math, asked by damrtgmailcom3818, 1 year ago

prove that cosa-sina+1/cosa+sina-1=cosecA+cotA

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Answers

Answered by Kannchi0403
0

Answer:

Step-by-step explanation:

Taking L.H.S,

divide the whole equation by sinA

=cosA/sinA- sinA/sinA+1/sinA/ cosA/sinA+sinA/sinA-1/sinA

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

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

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

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

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

= cosecA+cotA

since L.H.S=R.H.S

Hence proved

Hope this helps...!!

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