Additional Mathematics 0606 / Trigonometry / 3.813.81: Cos/sin identity to cosec0606/22/O/N/22 — Question 7 · 8 marksMark as done · Save for later · Show all solutions(a)Show that cos x1−sin x+sin x1−cos x=cosec x\dfrac{\mathrm{cos}\,x}{1-\mathrm{sin}\,x}+\dfrac{\mathrm{sin}\,x}{1-\mathrm{cos}\,x}=\mathrm{cosec}\,x1−sinxcosx+1−cosxsinx=cosecx.[4]▸ Answer(b)Hence solve the equation cos x1−sin x+sin x1−cos x=2\dfrac{\mathrm{cos}\,x}{1-\mathrm{sin}\,x}+\dfrac{\mathrm{sin}\,x}{1-\mathrm{cos}\,x}=21−sinxcosx+1−cosxsinx=2 in the interval given on the paper.[4]▸ Answer▸ Official mark scheme← 3.80: Counting 4-digit codes3.82: Line intersecting cubic curve →
