If , where , then find the value of…

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

Problem

If y=(1+tan⁡A)(1−tan⁡B)y = (1 + \tan A)(1 - \tan B), where A−B=π4A - B = \frac{\pi}{4}, then find the value of (y+1)y+1(y + 1)^{y+1}.

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