Prove that (x + 3 ) - (x - 3 ) (x + 3 ) - (x - 3 ) - x

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Prove that sin⁡(x+π3)−sin⁡(x−π3)cos⁡(x+π3)−cos⁡(x−π3)≡−cot⁡x\frac{\sin\left(x + \frac{\pi}{3}\right) - \sin\left(x - \frac{\pi}{3}\right)}{\cos\left(x + \frac{\pi}{3}\right) - \cos\left(x - \frac{\pi}{3}\right)} \equiv -\cot x

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