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in Mathematics by (93.6k points)
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The value of the expression
`(1+cot7^(@))(1+cot9^(@))(1+cot11^(@))......(1+cot45^(@))(1-cot52^(@))(1-cot54^(@))......(1-cot88^(@))` is equal to
A. `2^(18)`
B. `2^(19)`
C. `2^(20)`
D. `2^(21)`

1 Answer

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Best answer
Using`(1+costheta)(1-cot(45^(@)+theta))=2`
` (1+cot45^(@))(2^(19))=(2^(19))=20^(20)`

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