Graph of the sine and cosine

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Question 1:
1 pts
Which graph is sketched in the given image.

$y=2\sin x$

$y=\sin x$

$y=\cos x$

$y=\tan x$
Question 2:
1 pts
Which graph is sketched in the given image.

$f(x)=$
Question 3:
1 pts
$\sin x$ is an odd function and its graph is symmetric with respect to the origin $(0 , 0).$
Question 4:
1 pts
$\cos x$ is an even function and its graph is symmetric with respect to the $x$ axis.
Question 5:
2 pts
In the interval $0 < x\leq \pi$ for what values of $x$ is the graph of $y=\sin x$ increasing?

It is increasing on the interval
Question 6:
2 pts
Determine the range of the function shown on the graph.

Range:
Question 7:
2 pts
Select the interval where $g$ is decreasing.

$2 < x < 3$

$-1 < x < 3$

$-1 < x < 1$

$3 < x < 5$

Question 8:

2 pts

Find the zeros of the sine function $f(x)=\sin x-\dfrac{1}{2}.$

	$x=\dfrac{\pi}{6}+2k\pi \mbox{and} \dfrac{5\pi}{6}+2k\pi, k \in \mathbb{Z}$
	$x=\dfrac{\pi}{6}+2k\pi, k \in \mathbb{Z}$
	$x=\dfrac{\pi}{3}+2k\pi, k \in \mathbb{Z}$
	$x=\dfrac{\pi}{3}+k\pi \mbox{and} \dfrac{5\pi}{6}+2k\pi, k \in \mathbb{Z}$

Question 9:
3 pts
Determine the range of the function $f(x)=0.5\sin \left(\dfrac{x}{\pi}+\pi \right)-2$ shown on the graph.

Range:
Question 10:
3 pts
Determine phase shift for the function $y=2\sin (6x-2)+3.$

Phase shift:
Question 11:
3 pts
Determine phase shift for the function $y=\cos \left(x+\dfrac{\pi}{4}\right)$.

Phase shift:
Question 12:
2 pts
Which graph is sketched in the given image.

$2\cos |x|$

$y=\cos |x|$

$y=|\cos x|$

none of these

Angle Measurement