Prove $\cot \theta=\frac{1-\tan^{2}\left(\frac{\theta}{2}\right)}{2 \tan \left(\frac{\theta}{2}\right)}$.

Name: Prove $\cot \theta=\frac{1-\tan^{2}\left(\frac{\theta}{2}\right)}{2 \tan \left(\frac{\theta}{2}\right)}$.
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The Answer of Prove $\cot \theta=\frac{1-\tan^{2}\left(\frac{\theta}{2}\right)}{2 \tan \left(\frac{\theta}{2}\right)}$.

Prove cot⁡θ=1−tan⁡2(θ2)2tan⁡(θ2)\cot \theta=\frac{1-\tan^{2}\left(\frac{\theta}{2}\right)}{2 \tan \left(\frac{\theta}{2}\right)}cotθ=2tan(2θ​)1−tan2(2θ​)​

Prove $\cot \theta=\frac{1-\tan^{2}\left(\frac{\theta}{2}\right)}{2 \tan \left(\frac{\theta}{2}\right)}$