Find the x and y Intercepts y=4sin(x)

Problem

y=4*sin(x)

Solution

1. Find the y-intercept by setting x=0 in the equation.

y=4*sin(0)

y=4*(0)

y=0

2. Find the x-intercepts by setting y=0 and solving for x

0=4*sin(x)

3. Divide both sides by 4 to isolate the sine function.

0=sin(x)

4. Solve for x by identifying the values where the sine function equals zero.

x=arcsin(0)

x=n*π

where n is any integer.

Final Answer

y-intercept: *(0,0), x-intercepts: *(n*π,0)* for any integer *n

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