$\cot \theta = -8/9$, $\cos \theta > 0$ Why does the answer have a positive sin and negative cos but mine doesn't?

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Question 50

Mathway Link:

My Work: I understand why it's in quadrant 4 but I don't understand why I got a negative sin and a positive cos. Is there something wrong with the way I drew my triangle?

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1 Answer

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Yes, you drew your triangle wrongly. It should be flipped horizontally, so the right angle lies on the $+x$-axis and one vertex is at the origin.

The answer for $\cos\theta$ presented by the site is wrong, even contradicting its own problem statement. It should have a sign flip.

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