Science:Math Exam Resources/Courses/MATH110/April 2014/Question 01 (c)
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Question 01 (c) 

has infinitely many inflection points. 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hints below. Read the first one and consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! If after a while you are still stuck, go for the next hint. 
Hint 1 

What does it mean for a point to be an inflection point? 
Hint 2 

Once we find one inflection point, what properties of the sine function can we use to get more inflection points? 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. True. Look at . There are infinitely many point of interest () at Furthermore, at each point of interest, the second derivative changes sign. So each point of interest is an inflection point. 