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College Trigonometry, 2011a

College Trigonometry, 2011a

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814 Foundations of <strong>Trigonometry</strong><br />

(<br />

13. y =tan x − π )<br />

3<br />

Period: π<br />

y<br />

1<br />

− π 6<br />

−1<br />

π<br />

12<br />

π<br />

3<br />

7π<br />

12<br />

5π<br />

6<br />

x<br />

( ) 1<br />

14. y =2tan<br />

4 x − 3<br />

Period: 4π<br />

y<br />

−2π −π π<br />

−1<br />

2π<br />

x<br />

−3<br />

−5<br />

15. y = 1 tan(−2x − π)+1<br />

3<br />

is equivalent to<br />

y<br />

y = − 1 tan(2x + π)+1<br />

3<br />

via the Even / Odd identity for tangent.<br />

π<br />

Period:<br />

2<br />

− 3π 4<br />

− 5π 8 − π 2 − 3π 8<br />

− π 4<br />

4<br />

3<br />

1<br />

2<br />

3<br />

x

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