Higher June 2018 Paper 1 Q17

AQACurrent spec1 markAdvanced Trigonometry

17 Here is a triangle.

Triangle with angles 34°, 42° and 104°. The side of 15 cm is opposite the 104° angle and the side of x cm is opposite the 42° angle

Not drawn accurately

Circle the correct equation. [1 mark]

  • \(\dfrac{\sin x}{42} = \dfrac{\sin 15^\circ}{104}\)
  • \(\dfrac{x}{\sin 42^\circ} = \dfrac{15}{\sin 104^\circ}\)
  • \(\dfrac{\sin x}{34} = \dfrac{\sin 15^\circ}{104}\)
  • \(\dfrac{x}{\sin 42^\circ} = \dfrac{15}{\sin 34^\circ}\)