Additional Mathematics 0606 / Trigonometry / 3.263.26: Cosec equation and y in terms of x0606/13/M/J/22 — Question 9 · 8 marksMark as done · Save for later · Show all solutions(a)Solve cosec(2θ−π3)=23\mathrm{cosec}\left(2\theta - \dfrac{\pi}{3}\right) = \dfrac{2}{\sqrt{3}}cosec(2θ−3π)=32 for 0⩽θ⩽π0 \leqslant \theta \leqslant \pi0⩽θ⩽π. Give your solutions in terms of π\piπ.[4]▸ Answer(b)Given that cosec2θ=2x−1\mathrm{cosec}^{2}\theta = 2x - 1cosec2θ=2x−1 and tan2θ=y+1\mathrm{tan}^{2}\theta = y + 1tan2θ=y+1, find yyy in terms of xxx.[4]▸ Answer▸ Official mark scheme← 3.25: Cosec equation in radians3.27: Exact curve value with surds →
