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Find the value of x in each of the foll...

Find the value of `x` in each of the following: (i)`tan3x=sin45^0cos45^0+sin30^0`, (ii)`cosx=cos60^0cos30^0+sin60^0sin30^0` , (iii)`sin2x=sin60^0cos30^0-cos60^0sin30^0dot`

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(i)`tan3x=sin45^0cos45^0+sin30^0`
`tan3x=1/(sqrt2)1/(sqrt2)+1/2`
`tan3x=1/2+1/2`
`tan3x=tan45`
`3x=45` `x=(15)^0`
...
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