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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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4. (a) 5<br />

13<br />

Exercises <strong>4.8</strong><br />

1. (a) 2π<br />

, −π<br />

3 3<br />

(b) π 5π<br />

,<br />

12 12<br />

(b) 12<br />

13<br />

<br />

x<br />

2. (a) y = −2 cos<br />

3<br />

(c) 120<br />

169<br />

-6Pi -3Pi 3Pi 6Pi<br />

-1<br />

-2<br />

<br />

(b) y = 1 + sin 4 x + π<br />

<br />

3<br />

2<br />

1<br />

2<br />

1.5<br />

1<br />

0.5<br />

-2Pi -Pi Pi 2Pi<br />

16<br />

(d) 119<br />

169<br />

(c) 0, π, 2π, π<br />

3<br />

(d) 0, 2π, π 5π<br />

,<br />

3 3<br />

, 2π<br />

3<br />

4π 5π<br />

, ,<br />

3 3<br />

(e) 276<br />

715

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