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The value of (sin 55^@ - cos 55^@)/ sin ...

The value of `(sin 55^@ - cos 55^@)/ sin 10^@` is

A

`(1)/(sqrt(2))`

B

`2`

C

1

D

`sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`(sin55^(@)-cos55^(@))/(sin10^(@))`
`=(sin55^(@)-sin55^(@))/(sin10^(@))`
`=(2cos45^(@)sin10^(@))/(sin10^(@))=sqrt(2)`
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