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 $sin(x) = -1$ :

$y= 12(-1) + 7$

$y= -5$