Trigonometry Worksheet Page 12
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22It also repeats itself every 2 units, and it too has a range of −1 ≤ sin ≤ 1.
• The graph of the function ℎ { { = tan
%
'
= ±
, ±
, ±
, …. These angles will force the ray to be
The tangent function is undefined when
$
$
$
vertical, in which case the slope of the ray is undefined. On the graph, there will be vertical asymptotes
at these values.
Other values can be generated using methods we have discussed previously. The complete graph of the
tangent function is:
The range of the tangent function is −∞ < tan < ∞. The portion of the tangent function between
–
<
<
is called the main branch of the tangent function. These branches repeat forever, with a
$
$
period of
units.
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