In a , . If and are the roots of ,…

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

Problem

In a ΔPQR\Delta PQR , ∠R=π2\angle R = \frac{\pi}{2} . If tan⁡(P2)\tan\left(\frac{P}{2}\right) and tan⁡(Q2)\tan\left(\frac{Q}{2}\right) are the roots of ax2+bx+c=0,a≠0ax^2 + bx + c = 0, a \neq 0 , then (1) b=a+cb = a + c (2) b=cb = c (3) c=a+bc = a + b (4) a=b+ca = b + c

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