Worksheet 4.8 Properties of Trigonometric Functions
Worksheet 4.8 Properties of Trigonometric Functions
Worksheet 4.8 Properties of Trigonometric Functions
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(f) period is π<br />
y = |cos x|<br />
1<br />
0.8<br />
0.6<br />
0.4<br />
0.2<br />
-2Pi -Pi Pi 2Pi<br />
(g) period is 2π<br />
y = cos |x|<br />
2. (a) π<br />
2<br />
Section 3<br />
(b) 3π<br />
2<br />
1<br />
0.5<br />
-2Pi -Pi Pi 2Pi<br />
3π<br />
, , 0.95, 5.34<br />
2<br />
π 5π<br />
, ,<br />
6 6<br />
1. (a) − sin 4x<br />
(b) 1<br />
2. (a)<br />
3. (a)<br />
√ √<br />
2 − 6<br />
4<br />
√<br />
2 + 2<br />
2<br />
-0.5<br />
-1<br />
(c) 3 cos<br />
(d) 3<br />
2<br />
<br />
x<br />
<br />
4<br />
(b) − 1<br />
2<br />
√<br />
2 + 3<br />
(b)<br />
2<br />
15<br />
(c) 0, 2π, π<br />
6<br />
(d) π 5π<br />
,<br />
4 4<br />
, 5π<br />
6<br />
7π 11π<br />
, ,<br />
6 6<br />
(e) sin 4x<br />
(f) 1<br />
(c) √ 3<br />
(c) −<br />
2 − √ 3<br />
2
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