If cosec ¢=3/2 then 2(cosec²¢ + cot²¢=
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Explanation:Q. If cosec ¢=3/2 then 2(cosec²¢ + cot²¢)= ?
A.=2(cosec²¢+cosec²¢-1) [as1 + cot²¢= cosec ¢]
=2((3/2)²+(3/2)²-1) [given that cosec ¢=3/2]
=2(9/4 + 9/4 - 1)
=2(18/4 - 1)
= 2(18/4 -4/4)
=2(14/4)
=2(3.5)
=7
Hence,2(cosec²¢ + cot²¢)= 7
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