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Solve (sin 10^(@))^(tan x+tan 3x)=tan 15...

Solve `(sin 10^(@))^(tan x+tan 3x)=tan 15^(@)+tan 30^(@)+ tan 15^(@). Tan 30^(@), x in (0, pi]`.

Text Solution

Verified by Experts

The correct Answer is:
`x=pi/4, (3 pi)/4, pi`
`R.H.S.=1`
`rArr tan x+tan 3x=0`
`rArr sin 4x=0`
`rArr x=(n pi)/4, n in Z`
`rArr x=pi//4, 3pi//4, pi`
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