Additional Mathematics 0606 / Trigonometry / 2.302.30: Sine, sec–cosec and cot–tan equations0606/23/O/N/18 — Question 9 · 12 marksMark as done · Save for later · Show all solutions(a)Solve 2sin(x+π4)=32\sin\left(x + \tfrac{\pi}{4}\right) = \sqrt{3}2sin(x+4π)=3 for 0<x<π0 < x < \pi0<x<π radians.[3]▸ Answer(b)Solve 3secy=4cscy3\sec y = 4\csc y3secy=4cscy for 0°<y<360°0^{\degree} < y < 360^{\degree}0°<y<360°.[3]▸ Answer(c)Solve 7cotz−tanz=2cscz7\cot z - \tan z = 2\csc z7cotz−tanz=2cscz for 0°<z<360°0^{\degree} < z < 360^{\degree}0°<z<360°.[6]▸ Answer▸ Official mark scheme← 2.19: Reciprocal sine identity and equation1.3: Sine curve: constants and sketch →