Mathematics

Problem

Sketching the sine curve over four complete periods. a. (i) Prepare a table of at least eight ordered pairs

(x,\sin x)

that are sufficient to sketch the graph of

y=\sin x

for

x\in[-2\pi,2\pi]

. Choose your

x

-coordinates at equal intervals. b. (ii) Using the table, draw a neat and properly scaled sketch of the graph on a radian horizontal axis. Clearly label the intercepts and the maximum and minimum points. c. (iii) From your sketch, write down the number of solutions of

\sin x=\dfrac{1}{2}

lying in the interval

[-2\pi,2\pi]

and list them.

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