Which function can be used to model vibration?单项选择题

A

A cosine function

B

A sine function

C

An exponential function

D

Complex numbers

E

All of these

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Question textGuidelines to answer the following question:Fill in the blanks with the correct answers. Do NOT use any spaces or brackets. For all numerical answers, give EXACT values (i.e. do not round your answers) unless instructed otherwise in the question. If using fractions, give answers as SIMPLIFIED fractions using the forward slash (e.g. 1/2 or 5/4). Use - for any negatives. For [math: π], use the word pi. For example, write pi/2 for [math: π2]. _____________________________________________________________This question is worth 1 + 2 + 3 + 3 = 9 marks.The average temperature [math: (T)], in degrees Celsius [math: (℃)], for city A, in month [math: t] is modelled by [math: T=24+8cos(π6t)]. a) Use the function above to find the temperature after 7 months, rounded to 1 decimal place. Answer: [math: T=] Answer 1 Question 7[input] [math: (℃)] [1 mark]b) Find the maximum and minimum temperatures from the model; Minimum temperature =  Answer 2 Question 7[input][math: ∘C] Maximum temperature =  Answer 3 Question 7[input][math: ∘C] [2 marks]c) The temperature [math: T] is first equal to [math: 28℃] when [math: t=] Answer 4 Question 7[input]. The next time the temperature [math: T] is equal to [math: 28℃] is when [math: t=] Answer 5 Question 7[input]. Therefore, the total number of months during one year when the temperature is more than [math: 28℃] is Answer 6 Question 7[input] months. [3 marks] The average temperature [math: (T)], in degrees Celsius [math: (℃)], for another city, city B, in month [math: t] is modelled in the graph below. d) A temperature model in the form [math: 𝑇=𝑎+𝑏cos(𝑛𝑡)] is used to model the temperatures for city B. Find the values of [math: a,b,] and [math: n]. [math: a=] Answer 7 Question 7[input] ,  [math: b=] Answer 8 Question 7[input] ,  [math: n=] Answer 9 Question 7[input] .  [3 marks]Please answer all parts of the question.

Question textGuidelines to answer the following question:Fill in the blanks with the correct answers. Do NOT use any spaces or brackets. For all numerical answers, give EXACT values (i.e. do not round your answers) unless instructed otherwise in the question. If using fractions, give answers as SIMPLIFIED fractions using the forward slash (e.g. 1/2 or 5/4). Use - for any negatives. For [math: π], use the word pi. For example, write pi/2 for [math: π2]. _____________________________________________________________This question is worth 1 + 2 + 3 + 3 = 9 marks.The average temperature [math: (T)], in degrees Celsius [math: (℃)], for city A, in month [math: t] is modelled by [math: T=24+8cos(π6t)]. a) Use the function above to find the temperature after 7 months, rounded to 1 decimal place. Answer: [math: T=] Answer 1 Question 7[input] [math: (℃)] [1 mark]b) Find the maximum and minimum temperatures from the model; Minimum temperature =  Answer 2 Question 7[input][math: ∘C] Maximum temperature =  Answer 3 Question 7[input][math: ∘C] [2 marks]c) The temperature [math: T] is first equal to [math: 28℃] when [math: t=] Answer 4 Question 7[input]. The next time the temperature [math: T] is equal to [math: 28℃] is when [math: t=] Answer 5 Question 7[input]. Therefore, the total number of months during one year when the temperature is more than [math: 28℃] is Answer 6 Question 7[input] months. [3 marks] The average temperature [math: (T)], in degrees Celsius [math: (℃)], for another city, city B, in month [math: t] is modelled in the graph below. d) A temperature model in the form [math: 𝑇=𝑎+𝑏cos(𝑛𝑡)] is used to model the temperatures for city B. Find the values of [math: a,b,] and [math: n]. [math: a=] Answer 7 Question 7[input] ,  [math: b=] Answer 8 Question 7[input] ,  [math: n=] Answer 9 Question 7[input] .  [3 marks]

Given that [math: cosA=14] and [math: 3π2≤A≤2π], the value of [math: sinA] is:

Which equation best describes this function?

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