prove that, (cosecA-cotA)²=1-cosA/1-cosA
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Answer:
L.H.S.=(cosecA-cotA)²
=[1/sinA-cosA/sinA]²
=(1-cosA/sinA)²
=(1-cosA)²/Sin²A
=(1-cosA)²/1-cos²A
=(1-cosA)(1-cosA)/(1+cosA)(1-cosA)
=1-cosA/1+cosA
=R.H.S.
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