Find a possible formula for the trigonometric function represented by the given table of values. (enter your answer in the form

Question

2 years ago

14

y = a cos(bx − c) d or y = a sin(bx − c) d. )

1 answer:

uranmaximum [27] · Answer 1 · 2023-08-16T09:15:48+03:00

A function assigns the values. The function will be 8cos(2x-π)+4.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given the maximum value is 12, while the minimum value is -4, therefore,

A = (Max-Min)/2 = 12-(-4)/2 = 8

D = (Max+Min)/2 = (12-4)/2 = 4

Period=π, but since x =-4 at 0 or π, therefore,

(2π/B) = π

B = 2π/π = 2

C/B = π/2, {∴At π/2 maximum}

C=π

Hence, the function will be 8cos(2x-π)+4.

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