csat-suneung 2023 Q9

csat-suneung · South-Korea · csat__math 4 marks Harmonic Form

The function $$f ( x ) = a - \sqrt { 3 } \tan 2 x$$ has a maximum value of 7 and a minimum value of 3 on the closed interval $\left[ - \frac { \pi } { 6 } , b \right]$. What is the value of $a \times b$? (Here, $a$ and $b$ are constants.) [4 points]
(1) $\frac { \pi } { 2 }$
(2) $\frac { 5 \pi } { 12 }$
(3) $\frac { \pi } { 3 }$
(4) $\frac { \pi } { 4 }$
(5) $\frac { \pi } { 6 }$

The function
$$f ( x ) = a - \sqrt { 3 } \tan 2 x$$
has a maximum value of 7 and a minimum value of 3 on the closed interval $\left[ - \frac { \pi } { 6 } , b \right]$. What is the value of $a \times b$? (Here, $a$ and $b$ are constants.) [4 points]\\
(1) $\frac { \pi } { 2 }$\\
(2) $\frac { 5 \pi } { 12 }$\\
(3) $\frac { \pi } { 3 }$\\
(4) $\frac { \pi } { 4 }$\\
(5) $\frac { \pi } { 6 }$

Paper Questions

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