Question 845247: sinx-tanx=0
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! sin(x) - tan(x) = 0
sin(x) - sin(x)/cos(x) = 0
sin(x)*cos(x)/cos(x) - sin(x)/cos(x) = 0
(sin(x)*cos(x) - sin(x))/cos(x) = 0
sin(x)*cos(x) - sin(x) = 0*cos(x)
sin(x)*cos(x) - sin(x) = 0
sin(x)( cos(x) - 1 ) = 0
sin(x) = 0 or cos(x) - 1 = 0
sin(x) = 0 or cos(x) = 1
x = arcsin(0) or x = arccos(1)
x = pi*n or x = 2pi*n
x = pi*n
So the solution set is the set of all x such that x = pi*n where n is an integer. This is of course if we're in radian mode.
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