Additional Mathematics 0606 / Trigonometry / 2.92.9: Cosecant–cotangent identity and equation0606/21/O/N/18 — Question 7 · 8 marksMark as done · Save for later · Show all solutions(i)Show that 11−cosx−11+cosx=2cscxcotx\dfrac{1}{1 - \cos x} - \dfrac{1}{1 + \cos x} = 2\csc x \cot x1−cosx1−1+cosx1=2cscxcotx.[4]▸ Answer(ii)Hence solve the equation 11−cosx−11+cosx=secx\dfrac{1}{1 - \cos x} - \dfrac{1}{1 + \cos x} = \sec x1−cosx1−1+cosx1=secx for 0≤x≤2π0 \le x \le 2\pi0≤x≤2π radians.[4]▸ Answer▸ Official mark scheme← 2.8: Sec, cot and tan equation2.19: Reciprocal sine identity and equation →
