Unit 3 Booklet
Unit 3 Booklet
Unit 3 Booklet
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D . The period of a trigonometric function<br />
Exercise 4<br />
1. Determine the period and the maximum and minimum values of these trig functions.<br />
(a)<br />
(b)<br />
y<br />
y<br />
7<br />
8<br />
90°<br />
180°<br />
x<br />
30° 60° x<br />
Ð7<br />
Ð8<br />
(c)<br />
y<br />
0á5<br />
(d)<br />
y<br />
25<br />
45°<br />
x<br />
18° x<br />
Ð0á5<br />
Ð25<br />
(e)<br />
y<br />
9<br />
(f)<br />
y<br />
6<br />
360°<br />
x<br />
Ð9<br />
30°<br />
x<br />
Ð6<br />
(g)<br />
y<br />
0á1<br />
180°<br />
x<br />
Ð0á1<br />
2. Determine the period and the maximum and minimum values of these trig functions.<br />
(a) y = 5sin 2x° (b) y = 3cos3x° (c) y = 10tan4x°<br />
(d) y = 2á2cos 2x° (e) y = 30sin 6x° (f) y = Ð5cos30x°<br />
(g) y = 50sin 90x° (h) y = Ð 4cos 1 / 2 x° (i) y = 18sin 1 / 4 x°<br />
(j) y = 0á9cos 60x° (k) y = 1 / 2 sin 5x° (l) y = 3 / 4 cos 9x°<br />
(m) y = 11sin 180x° (n) y = 8sin 1á5x° (o) y = 40cos 2á5x°<br />
Mathematics Support Materials: Mathematics 3 (Int 2) Ð Student Materials 31
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