Question 511712
Consider the trigonometric function f(t)= 6 + 4cos(4πt).
Form: y = a*cos(bx-c) + d
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a = 4 ; b = 4(pi) ; c = 0 ; d = 6
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(i) What is the amplitude of f(t)?::: |a| = 4
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(ii) What is the period of f(t)?::: P = (2pi)/b = (2pi)/(4pi) = (1/2)
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(iii) What are the maximum and minimum values attained by f(t)?
Because the cos graph is moved up 6, max = 4+6 = 10, min = -4+6 = 2
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(iv) Sketch the graph of f(t) for t ∈ [0,1].
{{{graph(400,400,-10,10,-5,15,4cos(3.14x)+6)}}}
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Cheers,
Stan H.
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