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What is the equation for this cosine function?

What is the equation for this cosine function?-example-1
User Tiani
by
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2 Answers

1 vote

Answer:

f(x) = 5 cos (5/3)x - 6.

Explanation:

The function will be of the form f(x) = AcosB + c where B is the frequency.

The period of cos x is 2π and and of this function it is 6π/5 the value of B (the frequency) is calculated as follows:

Period = 2π/ B

B = 2π / 6π/5

= 5/3.

A is the amplitude which is 5 and c is the vertical displacement which is -6.

User Mesqueeb
by
3.8k points
7 votes

Answer:

2pi ÷ 6pi/5

2pi × 5/6pi = 5/3

5 cos[(5/3)x] - 6

User Sigma
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4.7k points