Similar Triangles, Right Triangles, And The Definition Of The Sine, Cosine And Tangent Functions Of Angles Of A Right Triangle Worksheets With Answer Key Page 16
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4344. Find the amplitude and period of the function shown in Figure T30. Find the equation for the
function.
Figure T30
The graphs of the tangent and cotangent functions are shown in Figure T31 and Figure T32.
θ
θ
Figure T31 Graph of y = tan
Figure T32 Graph of y = cot
You should be able to construct these graphs. Note that both tangent and cotangent functions have
π
π
π
period
rather than 2
. The tangent function has vertical asymptotes at odd multiples of
2
, while
π
π
the cotangent function has asymptotes at multiples of
(that's the same as even multiples of
).
2
Between two consecutive asymptotes, the tangent function is increasing while the cotangent function is
decreasing.
The graph of the secant function appears in Figure T33.
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