prove that (1 - cos^2 A) cosec^2 A = 1
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- The key difference between biosphere and lithosphere is that the biosphere is a part of the crust and atmosphere that support living matter while the lithosphere is the solid shell of the Earth that includes the crust and part of the uppermost mantle.
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Identity : sin 2A+cos 2 A=1
LHS =(1−cos 2 A)cosec 2 A
=sin 2 A× 1 ÷ sin 2 A
=1
=RHS
Hence proved
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