The terminal side of an angle θ in standard position intersects the unit circle at –1213,–513. What is tan(θ)?Write your answer in simplified, rationalized form.Submit
Question
The terminal side of an angle θ in standard position intersects the unit circle at –1213,–513. What is tan(θ)?Write your answer in simplified, rationalized form.Submit
Solution
The point on the unit circle is given as (-12/13, -5/13).
In a unit circle, the x-coordinate represents cos(θ) and the y-coordinate represents sin(θ).
So, cos(θ) = -12/13 and sin(θ) = -5/13.
The tangent of an angle θ, tan(θ), is defined as sin(θ)/cos(θ).
Therefore, tan(θ) = sin(θ)/cos(θ) = (-5/13) / (-12/13) = 5/12.
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