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Consider the trigonometric function f(t) = -3 + 4 cos(Π/ 3 (t - 3/2 )).
(a) What is the amplitude of f (t)?
(b) What is the period of f(t)?
(c) What are the maximum and minimum values attained by f(t)?
(d) Sketch the graph of f(t) for t ∈ [-6; 6].
If A, B and P are the points (-4, 3), (0, -2) and (α,β) respectively and P is equidistant from A and B, show that 8α - 10β + 21= 0. Ans : AP = PB ⇒ AP 2 = PB 2 (∝ + 4) 2
solving
Seriation : You have read about a preschooler's ability to order. Ordering a set of objects means to arrange them in a sequence according to some rule. This arrangement could be
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Convert each of the following points into the specified coordinate system. (a) (-4, 2 Π /3) into Cartesian coordinates. (b) (-1,-1) into polar coordinates. Solution
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