Project ID:
6000000051
Accepted:
Type:
Layout:
Question:
Match each of the given trigonometric functions with its true property.
Questions Title:
Functions
Answers Title:
Properties of functions
Question 1:
$\mathop{\mathrm{cot}}x$
Answer 1:
The function has a period of $\pi$.
Question 2:
$2\sin x$
Answer 2:
The range of the function is the closed interval $[-2;2]$.
Question 3:
$-\sin x$
Answer 3:
The function is increasing on the interval $\left[\frac{\pi}2;\frac{3\pi}2\right]$.
Question 4:
$\mathop{\mathrm{tan}}\frac x2$
Answer 4:
The domain of the function is $\left\{x\in\mathbb{R}\colon x\neq2k\pi+\pi\right\}$.
Question 5:
$\cos x$
Answer 5:
The function is an even function.
Question 6:
$-\frac12\cos x$
Answer 6:
The range of the function is the closed interval $\left[-\frac12;\frac12\right]$.
Tex:
% tiket 32056
\NastavOD{2}
\NastavOT{3}