trigonometry - Proving that $\tan \theta=\cot(90^\circ-\theta)$ when $\theta>90^\circ$ - Mathematics Stack Exchange

I'm asked to prove $\tan \theta=\cot (90-\theta)$ So $\tan \theta =\frac{a}{b}=\cot(90^\circ-\theta)$ But what if $\theta>90?$

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SOLUTION: Algebra and trigonometry first secondary(math) - Studypool

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Why tan(90-θ)=cotθ

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33 Prove that ( frac { cot ( 90 - theta ) } { tan theta } + frac