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Answered by
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L.H.S is piecewise function in inteval [ 0 , 2 pie]
from the graph of tanx you will see there is no solution in [0 , pie/2] , [ pie ,3 pie /2]
as mod of tanx = tanx for these interval
and for interval other than given above
mod of tanx = - tanx
we get sinx = 1/2
x = 150 deg.
I HOPE IT HELPS. ☺
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