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The value of the expression (1+cot7^(@...

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)`

Text Solution

Verified by Experts

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