Additional Mathematics 0606 / Trigonometry / 3.493.49: Sin–cot identity and tan equation0606/22/M/J/24 — Question 6 · 8 marksMark as done · Save for later · Show all solutions(a)Show that sin 3x cot x\mathrm{sin}\,3x\,\mathrm{cot}\,xsin3xcotx can be written as sin x tan x\mathrm{sin}\,x\,\mathrm{tan}\,xsinxtanx.[3]▸ Answer(b)Solve tan2x−cos x=0\mathrm{tan}^{2} x - \mathrm{cos}\,x = 0tan2x−cosx=0 for −π⩽x⩽π-\pi \leqslant x \leqslant \pi−π⩽x⩽π.[5]▸ Answer▸ Official mark scheme← 3.48: Tangent to an exponential curve3.50: Binomial independent term and surd difference →
