The graph of which trigonometric function(s) include the point (0,3). Select three of the following that apply.

Question

asked Jan 22, 2020 207k views

1 Answer

ConstantineUA · Answer 1 · 2020-01-28T20:14:02+0000

Answer:

$y=3\cos(x)$

$y=\sin(2x)+3$

$y=\tan(x)+3$

Explanation:

For
y=cosx +3 , when
x=0 ,
$y=\cos(0)+3\Rightarrow y=1+3=4$

The graph of this function contains the point
(0,4)

For
$y=3\cos(x)$ , when
x=0 ,
$y=3\cos(0) \Rightarrow y=3(1)=3$

The graph of this function contains the point
(0,3)

For
$y=\sin(2x)+3$ , when
x=0 ,
$y=\sin(2(0))+3=3$

The graph of this function contains the point
(0,3)

For
$y=\tan(x)+3$ , when
x=0 ,
$y=\tan(0)+3=0+3=3$

The graph of this function contains the point
(0,3)

For
$y=\sin(3x+(\pi)/(2))+1$ , when
x=0 ,
$y=\sin(3(0)+(\pi)/(2))+1$

$\Rightarrow y=\sin(0+(\pi)/(2))+1$

$\Rightarrow y=\sin((\pi)/(2))+1$

$\Rightarrow y=1+1=2$

The graph of this function contains the point
(0,2)