What is the maximum value of $y=-3sinx+2$ ?

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Answer 1 · 2017-10-11T17:06:22

$5$

For: $y=-3sinx+2$

Since $sinx$ is multiplied by a negative value, we want $sinx$ to be a minimum value.

$0<=x<=2pi$

$-1<= sinx<=1$

Maximum value:

If $x= (3pi)/2$ . then $sinx= -1$ and $-3sinx+2=5$

Graph:

graph{-3sinx+2 [-12.66, 12.65, -6.33, 6.33]}

What is the maximum value of y=-3sinx+2y=-3sinx+2?