(a) Draw a neat, accurately scaled graph of for ranging from to . Use equal scales on…

MATHEMATICS · Subjective · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

(a) Draw a neat, accurately scaled graph of

y = \sin x

for

x

ranging from

-\pi

2\pi

. Use equal scales on both axes and mark all intercepts, maxima and minima clearly. (b) From the graph, list all values of

x

[-\pi,2\pi]

at which: (i)

\sin x

attains its maximum value, (ii)

\sin x

attains its minimum value. (c) Using the same graph, determine the solution set of the inequality

\sin x \ge \dfrac12

for

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