gaokao 2019 Q9

gaokao · China · national-II-science_gkztc Trig Graphs & Exact Values
9. Among the following functions, which one has period $\frac { \pi } { 2 }$ and is monotonically increasing on the interval $\left( \frac { \pi } { 4 } , \frac { \pi } { 2 } \right)$?
A. $f ( x ) = | \cos 2 x |$
B. $f ( x ) = | \sin 2 x |$
C. $f ( x ) = \cos | x |$
D. $f ( x ) = \sin | x |$
Let $S _ { n }$ denote the sum of the first $n$ terms of an arithmetic sequence $\left\{ a _ { n } \right\}$. Given $S _ { 4 } = 0$,
9. Among the following functions, which one has period $\frac { \pi } { 2 }$ and is monotonically increasing on the interval $\left( \frac { \pi } { 4 } , \frac { \pi } { 2 } \right)$?\\
A. $f ( x ) = | \cos 2 x |$\\
B. $f ( x ) = | \sin 2 x |$\\
C. $f ( x ) = \cos | x |$\\
D. $f ( x ) = \sin | x |$