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Numerade Educator

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Problem 61 Hard Difficulty

For this exercise, use the standard viewing rectangle.
(a) Graph the function $y=\ln \left(\sin ^{2} x\right)$
(b) Graph the function $y=\ln (1-\cos x)+\ln (1+\cos x)$
(c) Explain why the two graphs are identical.

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Top Algebra Educators
Catherine R.

Missouri State University

Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Michael J.

Idaho State University

Video Transcript

So here we have. First, the graph off. Why is equal to tell an off site Squared X and then for Part B Photograph Park eight. And then we also have to graft for part B here, which is the graph for why is equal to Eleanor one minus co signed X Plus Ellen off one plus course side effects, and what we notice about those two graphs is that they are identical. So let's see if you can figure out why they are identical. So now we know that there's a night anti which say sine squared X plus course signs. Way X is equal to one We can write this a science quite X is equal to one minus school science, quite X, and that can be factored so sine squared X can be factored one minus co signed X Times one plus course I necks. So now when we have the natural law off sign sweat X. But that can be written as why is he going to the natural law off one minus coast. My next Times one plus Co. Sign X and using the operatives off logs this convicted as bicycle to Eleanor one My just course sine X plus Ellen off one plus co. Sign off necks

Other Schools
Top Algebra Educators
Catherine R.

Missouri State University

Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Michael J.

Idaho State University