Sketch the graph of f(x)=cos x and f(x)=sin x, for just one period, on the same axis.Then answer the following questions.Be sure to label important points. a)What values are the cos x=sinx? b)What values, interval, are the sinx>cosx? c)What values are the sinx+cosx=1?
http://en.wikipedia.org/wiki/File:Sine_cosine_one_period.svg This figure shows it better. You can answer your questions from here right?
a) x=45deg,225deg b) 45<x<225 c) x=90deg, 360deg
Thank you
I am not going to answer the questions for you since the graph is pretty self-explaining. sin(x) and cos(x) are only greater than 1 if the amplitude is greater than 1. (e.g. 2 sin(x), or 5 cos(x). By default sin(x) is just 1 sin(x) with a period of 2*pi.) Please Like Tutor Sean on Facebook ( http://www.facebook.com/pages/Tutor-Sean/250732554967420). It will help me help others, and I offer free help there with a community of other college tutors. Also check out http://www.tutorsean.net for free videos on math and related subjects.
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