Prove that (cos A - cos B)² + (sin A - sin B)² = 4sin² ((A-B)/2)

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Prove that (cos A - cos B)² + (sin A - sin B)² = 4sin² ((A-B)/2)
In this video, you get the full concept of the submultiple angle of trigonometry.
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Question:
If tan a/2 = [√(1-m)/(1+m)] tan b/2 prove that cos b= (cos a-m)/(1-m cos a).
Pls solve soon😢

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