A student wishes to sketch the graph of for the interval

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

A student wishes to sketch the graph of

y=\sin x

for the interval

x\in[-90^{\circ},\,450^{\circ}]

. (a) Convert the interval limits

-90^{\circ}

and

450^{\circ}

to radian measure. (b) Within this interval, the important points for the sine curve occur at integral multiples of

90^{\circ}.

Prepare a table that lists every multiple of

90^{\circ}

lying between

-90^{\circ}

and

450^{\circ}

(inclusive) and gives, beside each, its corresponding radian value expressed in terms of

\pi.

x

–axis is marked in radians. (d) State the radian

x

–coordinates of all the points in the interval where the sine curve cuts the

x

–axis.