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- anonymous

Can someone please help? This is my last question and I really need help
Part 1: Using complete sentences, compare the key features and graphs of sine and cosine. What are their similarities and differences?
Part 2: Using these similarities and differences, how would you transform f(x) = 2 sin(2x - π) + 3 into a cosine function in the form f(x) = a cos(bx - c) + d?

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- anonymous

- katieb

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- Australopithecus

If you have a mac, I would recommend using the program called grapher it comes standard with all mac operating systems
If you do not I recommend wolfram alpha
http://www.wolframalpha.com/input/?i=sin%28x%29%2C+cos%28x%29
based on these two graphs you should be able to discern their differences and similarities
as for your next question:
you want,
2*sin(2x - π) + 3 to be equal to a function in form a*cos(bx - c) + d
http://www.wolframalpha.com/input/?i=2sin%282x+-+%CF%80%29+%2B+3
I recommend you take your function given in the form a*sin(bx - c) + d and play around with each of the values to see how it changes the graph. For example changing the value 2 to 5 how does that shift the graph. Do that for all variables then you can see what variables you need to modify to what to solve the problem.

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