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Prove that: cos(30^(@)-x)-cos(30^(@)+x...

Prove that:
`cos(30^(@)-x)-cos(30^(@)+x)=sinx`

Text Solution

Verified by Experts

LHS `=cos(30^(@)-x)-cos(30^(@)+x)`
`=cos(30^(@)cosx+sin30^(@)sinx)-(cos30^(@)cosx-sin30^(@)sinx)`
`=2sin30^(2)sinx=2.1/2sinx`
`=sinx=`R.H.S Hence Proved.
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