(a) Let P(cos t, sin t) be a point on the unit circle x 2 + y...
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(a) Let P(cos t, sin t) be a point on the unit circle x2 + y2 =1 in the first quadrant (see figure). Show that t is equal to twice the area of the shaded circular sector AOP.
(b) Let P(cosh t, sinh t) be a point on the unit hyperbola x2 - y2 = 1 in the first quadrant (see figure). Show that t is equal to twice the area of the shaded region AOP. Begin by showing that the area of the shaded region AOP is given by the formula
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Related Book For
Calculus Of A Single Variable
ISBN: 9781337275361
11th Edition
Authors: Ron Larson, Bruce H. Edwards
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