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21. If cot 0 =
(1 + sin )(1-sin o)
then evaluate
(1 + cos 0) (1 - cos 0)
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Answer:
cot 0 = 1 - sin^2 0.
cot 0 = cos^2 0. ( 1-sin^20 = cos^20)
now we need (1+cos0 ) (1-cos0). = 1-cos^2 0
replace Cos^2 0 = cot 0. ( this we found above)
so ( 1 -cos^2 0) (1 + cos^2). = 1 - cot0
and is 1 - cot0
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