3.4: Normal to tan curve and triangle area

0606/12/F/M/22 — Question 6 · 8 marks

The normal to the curve y=1+tan3xy = 1 + \mathrm{tan}\,3x at the point PP with xx-coordinate π12\dfrac{\pi}{12} meets the xx-axis at the point QQ. The line x=π12x = \dfrac{\pi}{12} meets the xx-axis at the point RR. Find the area of the triangle PQRPQR.
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