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Precalculus question. Please help me and thank you .

Precalculus question. Please help me and thank you .-example-1

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We know,

sin(x) and cos(x) have minimum value equal to -1 and maximum value is 1.

Maximum value of sin(x) is 1

So we replace sin by 1 in our given equation


y=-2+5sin((\pi )/(12)(x-2))

When we replace sin by 1 we will get


y=-2+5(1))

y= -2+5 = 3

So maximum value is 3


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