13.2 Trigonometric graphs — Practise

Work independently. Questions and answers are checked from the same problem bank. Questions marked H extend the Higher work.

1. H For $y=\sin x$, give the values at $x=0^\circ,90^\circ,180^\circ,270^\circ,360^\circ$.
2. H For $y=\cos x$, give the values at $x=0^\circ,90^\circ,180^\circ,270^\circ,360^\circ$.
3. H State the period of $y=\sin x$ and $y=\cos x$ in degrees.
4. H State the period of $y=\tan x$ and its vertical asymptotes between $-180^\circ$ and $180^\circ$.
5. H Solve $\sin x=1/2$ for $0^\circ\leq x\leq360^\circ$.
6. H Solve $\cos x=0$ for $0^\circ\leq x\leq360^\circ$.
7. H Solve $\sin x=0$ for $0^\circ\leq x\leq360^\circ$.
8. H For $y=3\sin x$, state the maximum, minimum and period in degrees.
9. H Give the zeros of $y=\tan x$ from $-180^\circ$ to $180^\circ$.