The variable m is the y-coordinate of the point on the circle with the x-coordinate of [tex]\frac{1}{2}[/tex], where tan (θ) = √3 which gives the value of m as [tex]\underline{\dfrac{\sqrt{3} }{2}}[/tex]
The possible diagram in the question is the unit circle with the coordinates of the point at [tex]\mathbf{\left(\dfrac{1}{2}, \, m \right)}[/tex]
The value of the tan(θ) = √3
Which gives;
[tex]tan(\theta) = \dfrac{m}{\dfrac{1}{2} } = \mathbf{ \sqrt{3}}[/tex]
Therefore;
[tex]m =\sqrt{3} \times \dfrac{1}{2} = \mathbf{ \dfrac{\sqrt{3} }{2}}[/tex]
The value of m from is therefore;
Learn more about working with trigonometric, tangent ratios here:
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