Additional Mathematics 0606 / Trigonometry / 2.292.29: Cosecant identity and mixed equations0606/23/O/N/17 — Question 10 · 12 marksMark as done · Save for later · Show all solutions(a)Show that sinx1+cosx+1+cosxsinx=2cscx\dfrac{\sin x}{1 + \cos x} + \dfrac{1 + \cos x}{\sin x} = 2\csc x1+cosxsinx+sinx1+cosx=2cscx.[3]▸ Answer(b)(i)Solve cot2y+cscy−5=0\cot^{2} y + \csc y - 5 = 0cot2y+cscy−5=0 for 0°≤y≤360°0^{\degree} \le y \le 360^{\degree}0°≤y≤360°.[5]▸ Answer(b)(ii)Solve cos(2z+π4)=−32\cos\left(2z + \tfrac{\pi}{4}\right) = -\tfrac{\sqrt{3}}{2}cos(2z+4π)=−23 for 0≤z≤π0 \le z \le \pi0≤z≤π radians.[4]▸ Answer▸ Official mark scheme← 2.7: Prove identity with reciprocal sine terms1.2: Pythagorean identity with tan and sec →
