Additional Mathematics 0606 / Trigonometry / 3.1103.110: Sec identity and equation0606/21/O/N/25 — Question 4 · 6 marksMark as done · Save for later · Show all solutions(a)Show that 1−sin xcos x+cos x1−sin x=2 sec x\dfrac{1-\mathrm{sin}\,x}{\mathrm{cos}\,x}+\dfrac{\mathrm{cos}\,x}{1-\mathrm{sin}\,x}=2\,\mathrm{sec}\,xcosx1−sinx+1−sinxcosx=2secx.[3]▸ Answer(b)Hence solve the equation 1−sinθ2cosθ2+cosθ21−sinθ2=3\dfrac{1-\mathrm{sin}\tfrac{\theta}{2}}{\mathrm{cos}\tfrac{\theta}{2}}+\dfrac{\mathrm{cos}\tfrac{\theta}{2}}{1-\mathrm{sin}\tfrac{\theta}{2}}=3cos2θ1−sin2θ+1−sin2θcos2θ=3 for 0∘⩽θ⩽720∘0^{\circ}\leqslant \theta\leqslant 720^{\circ}0∘⩽θ⩽720∘.[3]▸ Answer▸ Official mark scheme← 3.109: Arrangements and letter selections3.111: Chord of intersection of line and curve →
