Unformatted text preview: ns, we get 3h = (h + 200) 3. The
result is a linear equation for h, so we proceed to expand the right hand side and gather all
the terms involving h to one side. √
3h = (h + 200) 3
√
√
3h = h 3 + 200 3
√
√
3h − h 3 = 200 3
√
√
(3 − 3)h = 200 3
√
200 3
√ ≈ 273.20
h=
3− 3
Hence, the tree is approximately 273 feet tall.
As we did in Section 10.2.1, we may consider all six circular functions as functions of real numbers.
At this stage, there are three equivalent ways to deﬁne the functions sec(t), csc(t), tan(t) and
cot(t) for real numbers t. First, we could go through the formality of the wrapping function on
page 604 and deﬁne these functions as the appropriate ratios of x and y coordinates of points on
the Unit Circle; second, we could deﬁne them by associating the real number t with the angle
θ = t radians so that the value of the trigonometric function of t coincides with that of θ; lastly,
we could simply deﬁne them using the Reciprocal and Quotient Identities as combinations of the
functions f (t) = cos(t) and g (t) = sin(t). Prese...
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 Fall '13
 Wong
 Algebra, Trigonometry, Cartesian Coordinate System, The Land, The Waves, René Descartes, Euclidean geometry

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