Mathematics 0580 · IGCSE · Trigonometric functions

Trigonometric functions — practice question

A pair of axes is displayed, with the $x$-axis extending from $0^{\circ}$ to $360^{\circ}$ and the $y$-values spanning from $-1$ to $1$.
(a)[2]

Using the diagram, sketch the graph of $y = \cos x$ for $0^{\circ} \le x \le 360^{\circ}$.

(b)[2]

Solve $\cos x = -\frac{1}{2}$ for $0^{\circ} \le x \le 360^{\circ}$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: The graph passes correctly through $(0,1),(180,-1),(360,1)$.

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI