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