− 2) × 180° Equation of a circle (x − h) 2 + (y − k) 2 = r. 2. Trigonometric ratios and identities . opposite side 1 sinθ = cosecθ = hypotenuse . sinθ adjacent side . 1 cosθ = secθ = hypotenuse cosθ opposite side θ tanθ= tanθ = θ cosθ. adjacent side cotθ = sinθ. sin. 2. θ + cos. 2. θ = 1. Exact ratios . 2 . 60° 30° 45° 2 45° 1. Distance between two points . d = (x. 2 − x. 1) 2 + (y. 2 − y. 1) 2 Year 12 Name_____ Mathematics General 2 . Trial HSC Examination . 2014 . General Instructions • Reading time − 5 minutes • Working time – 2.5 hours • Write using black or blue pen • Calculators may be used • A formulae sheet is provided at the back of this paper • Write your name on the front cover of

*- The formula sheet stapled to the back is still a weird feeling. - Multiple choice was VERY kind. No curveballs here. Students may have been confused about how to attempt the absolute value integral in Question 9, but besides that, pretty stock standard.*While certain questions can be completed simply by knowing the formula, many of the 3 Unit Maths formulae are slightly more complicated. HSC questions will test your understanding of the formula, more than your ability to apply it in simple cases. If all you know is the formula written on the sheet, you may struggle to deal with these questions. Stage 1 (Years 1–2) Stage 2 (Years 3–4) Stage 3 (Years 5–6) Stage 4 (Years 7–8) HSC Mathematics Extension 1. Syllabus; Reference (Formula) Sheet; Course Description (3 Unit) = 2 Unit + Extra 2 Unit The mathematics 2 Unit Syllabus has been divided into a Preliminary course and an HSC course as follows: