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Show that: cotx-cot2x=2...

Show that: `cotx-cot2x=2`

Text Solution

Verified by Experts

`L.H.S. = cotx - cot2x = cosx/sinx -(cos2x)/(sin2x)`
`=(cosxsin2x - cos2xsinx)/(sinxsin2x)`
`=(sin(2x-x))/(sinxsin2x) = sinx/(sinxsin2x)`
When, `x = 15^@`
`1/(sin2x) = 1/(sin30^@) = 2 = R.H.S.`
So, given equation is true for `x = 15^@`
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