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Rashid [163]
2 years ago
11

The function y=-2+5sin(pi/12(x-2)), what is the minimum value?

Mathematics
2 answers:
Alina [70]2 years ago
4 0

Answer:

-7

Step-by-step explanation:

We are given that   a function

y=-2+5 sin(\frac{\pi}{12}(x-2))

We have to find the minimum value of y.

We know that range of sin x is [-1,1].

-1\leq sin(\frac{\pi}{12}(x-2))\leq 1

-5\leq 5sin(\frac{\pi}{12}(x-2))\leq 5

-5-2\leq -2+5sin(\frac{\pi}{12}(x-2))\leq 5-2

-7\leq -2+5sin(\frac{\pi}{12}(x-2))\leq 3

-7\leq y\leq 3

Maximum value of y=3

Minimum value of y=-7

Hence, the minimum value of given function =-7

Marianna [84]2 years ago
3 0

Answer:

-7

Step-by-step explanation:

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