The function y=Asin(x)+7 has a maximum value of 19. What is it’s minimum value?

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Answer 1 · 2018-05-17T03:30:23

#y= -5#

The maximum value occurs when #sin(x) = 1#; this allows us to determine the value of A:

#19 = A(1) +7#

#A = 12#

Substitute #12# for A:

#y= 12sin(x) + 7#

The minimum value occurs when #sin(x) = -1#:

#y= 12(-1) + 7#

#y= -5#