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Tan of theta?

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tan = opposite/adjacent, by definition.
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Can you find sine of theta?
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In this case the opposite and adjacent are both -3. The hypotenuse, r, can be found with Pythagoras.

Alternatively, since the legs of the triangle are equal we know the reference angle is 45° or π/4. And since it lies in the third quadrant the sine and cosine are both negative and the tangent is positive.
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Tan θ =y/x=1. θreference=pi/4 or 45°. θ=pi+pi/4=5pi/4 or 180+45=225°
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first principles, tangent = opp/adj
by

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