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Show that 1/(sin 10^@) - sqrt3/(cos 10^@...

Show that `1/(sin 10^@) - sqrt3/(cos 10^@) = 4`

Text Solution

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`(cos10-sqrt3sin10)/(sin10cos10)`
`(2[(1/2)cos10-sqrt3/2sin10])/(2sin10cos10)`
`(4sin(30-10))/(sin20)`
`4`.
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