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Mathematics: AA HL

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Mathematics: AA HL

Available time 20 Minute(s)

The following diagram shows the curve of a trigonometric function.

Find an expression for f(x).

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Available time 20 Minute(s)

01. Question

Level Easy

Maximum Mark 6

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The following diagram shows the curve $y = a \sin (k (x - d)) + c$ where a,k,d and c are all positive constants. The curve has a minimum point at (2.5, 2) and a maximum point at (4, 8) .

(a). Write down the value of a

[Marks: 1]

and the value of c.

[Marks: 1]

(b). Find the value of k.

[Marks: 2]

$\frac{π}{3}$

$\frac{2 π}{3}$

$\frac{π}{2}$

$\frac{3 π}{2}$

(c). Find the smallest possible value of d, given d>0.

[Marks: 2]

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