If is a point on the altitude of such that

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

If PP is a point on the altitude ADAD of △ABC\triangle ABC such that ∠CBP=B3\angle CBP=\frac{B}{3}, then APAP is equal to (1) 2asin⁡(C3)2a\sin\left(\frac{C}{3}\right) (2) 2bsin⁡(A3)2b\sin\left(\frac{A}{3}\right) (3) 2csin⁡(B3)2c\sin\left(\frac{B}{3}\right) (4) 2csin⁡(C3)2c\sin\left(\frac{C}{3}\right)

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