The curve shown is $y = \sin x$ for $-\pi \le x \le \pi$. State its period and amplitude. [

Question

The curve shown is $y = \sin x$ for $-\pi \le x \le \pi$. State its period and amplitude. [1] Write the $x$-coordinates of all its zeros in this interval. [1] Solve $\sin x = \frac12$ for $-\pi \le x \le \pi$. [2]

Accepted Answer

(a) Period $2\pi$, amplitude $1$; (b) $x=-\pi,\,0,\,\pi$; (c) $x=\frac{\pi}{6},\,\frac{5\pi}{6}$.

Trigonometry

Trigonometry

Solution:

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