1 Answer

Inverse · Answer 1 · 2020-04-07T14:29:56+0000

Answer:

$y=4\sin((3)/(2)x+(2\pi)/(3))$

Explanation:

The graph of the cosine function can be obtained by shifting the sine function to the left by
$(\pi)/(2)$ units.

The given cosine function is:

$y=4\cos((3)/(2)x+(\pi)/(6))$

When we shift this function to the left by
$(\pi)/(2)$ units, we obtain a sine function

$y=4\sin((3)/(2)x+(\pi)/(6)+(\pi)/(2))$

$y=4\sin((3)/(2)x+(2\pi)/(3))$

These two functions have the same graph

The second option is correct.

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