tmua.me Medium Set E Paper 1 · Question 14

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tmua.me Medium Set E Paper 1 · Q14

Paper 1TrigonometryFunctions & graphs

The function $f$ is given by

f(x)=a\cos(bx)+c,

where $x$ is measured in radians and $a$ and $b$ are positive constants. The maximum value of $f$ is $7$ , its minimum value is $1$ , and its least positive period is $2\pi/3$ .

What is $f(\pi/9)$ ?

\dfrac32

\dfrac52

\dfrac92

\dfrac{11}{2}

7

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