A Simple Trig Challenge

This is a fun and simple trigonometry challenge.

No calculators allowed!

Which of the following is the largest?

                                     (a)  \frac{\sqrt{3}}{2}                           (b)  sin (\frac{7\pi}{12})

                                     (c)  sin (\frac{7\pi}{16})                  (d)  cos (\frac{\pi}{10})

There are a couple of nice ways to solve this without using a calculator, and plenty of good ways to extend this question.

The real challenge is to come up with your own version of this problem!

Math Quiz: NYT Learning Network

Through Math for America, I am part of an on-going collaboration with the New York Times Learning Network.  My latest contribution, a Test Yourself quiz-question, can be found here:

https://learning.blogs.nytimes.com/2012/04/25/test-yourself-math-april-25-2012/

This question is based on the increasing number of Chinese tourists visiting the United States each year.  Just how much are they spending?

 

Math Quiz: NYT Learning Network

Through Math for America, I am part of an on-going collaboration with the New York Times Learning Network.  My latest contribution, a Test Yourself quiz-question, can be found here:

https://learning.blogs.nytimes.com/2012/04/16/test-yourself-math-april-16-2012/

This question is based on the current oil-export capacity of Iran.  How long would it take Iran to export a billion dollars’ worth of oil?

 

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