Additional Mathematics 0606 / Trigonometry / 3.333.33: Cot–sec relation and cosec equation0606/12/M/J/23 — Question 6 · 7 marksMark as done · Save for later · Show all solutions(a)Given that cot y=12+2θ\mathrm{cot}\,y = \dfrac{1}{2} + 2\thetacoty=21+2θ and sec x=4−θ\mathrm{sec}\,x = 4 - \thetasecx=4−θ, find yyy in terms of xxx.[2]▸ Answer(b)Solve cosec(2ϕ+3π4)=23\mathrm{cosec}\left(2\phi + \dfrac{3\pi}{4}\right) = \dfrac{2}{\sqrt{3}}cosec(2ϕ+43π)=32 for −π⩽ϕ⩽π-\pi \leqslant \phi \leqslant \pi−π⩽ϕ⩽π, giving answers in terms of π\piπ.[5]▸ Answer▸ Official mark scheme← 3.32: Fractional powers and lg equation3.34: Cosine: sketch, amplitude, period →
