Tangent function is positive when the angle is a multiple of π/4 or 5π/4. Since the period of the tangent function is π, the general solution is:
x = π/4 + π*k
x = 5π/4 + π*k
Where k is an integer constant
x = π/4 + π*k
x = 5π/4 + π*k
Where k is an integer constant
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Tanx=1 if x=45.Proofing" Since sin45=1/sqrt2 & sine45=1/sqrt2 since tan=sin45/cos45 so tan45=1(QED)"
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x=45 degrees=pi/4 radians