Higher June 2025 Paper 2 Q6EduqasHigherCurrent spec6 marksBasic Trigonometry6.(a) Diagram not drawn to scaleCalculate the length of AB. [3](b) Diagram not drawn to scaleCalculate the size of \(D\hat{E}F\). [3]Mark scheme (a)Mark scheme (b)Mark scheme (a)SchemeMarksComments\(15 \times \cos(38)\) or \(15 \times \sin(90 - 38)\)M2Allow M2 for equivalent complete methodsIf not M2 award M1 for one of the following:\(\cos(38) = \frac{AB}{15}\) oe\(\sin(90 - 38) = \frac{AB}{15}\) oe\(= 11.8(2\ldots)\) (cm)A1Allow 12 from correct working.RadiansGrads\(15\cos(38)\)14.326..12.406…\(15\sin(52)\)14.799..10.93..Mark scheme (b)SchemeMarksComments\(\tan^{-1}\left(\frac{19}{17}\right)\)M2Allow M2 for equivalent complete methodsM1 for \(\tan(D\hat{E}F) = \frac{19}{17}\)\(= 48.1(798\ldots)(^\circ)\) rounded or truncatedA1Allow A1 for \(48(^\circ)\) from correct workingRadiansGrads\(\tan^{-1}\left(\frac{19}{17}\right)\)0.84(08..)53.5(3.….) or 54(6)
