Mathematics International 0607: Trigonometry Topical Past Paper Questions

In this task you will look at the length of a line drawn on the curved surface of a cylinder. This line is called a helix. In this task, diagrams are not drawn to scale. A rectangle of paper is wrapped around a cylinder with diameter 10 cm. The long edges of the paper meet along…

Solve $ 1 + \tan x = -1 $ for $ 0^\circ \leq x \leq 180^\circ $.

$$\cos x = -\frac{\sqrt{3}}{2} \text{ and } 0^{\circ} \leqslant x \leqslant 360^{\circ}.$$ Find the values of $x$. $$ \begin{array}{r l r}{\boldsymbol{x}=}&{{}\cdots\cdots\cdots\cdots}&{\mathrm{o r~}\boldsymbol{x}=\mathbf{\Lambda}.}\\ {\mid2}&{{}}&{}\end{array} $$