Ex 3: Area Bounded by Two Trig Functions

This video provides an example of how to determine the area bounded by two trigonometric functions.

[Mathispoweru]

Set sin(x) = cos(x), then divide both sides by cos(x) so sin(x)/cos(x) = 1 so tan(x) = 1. Find the angles where tan(x) = 1, which are pi/4 and 5pi/4 in this interval. I 'm make a video of this today if I have time.

[sandyi]

Why don't you split positive and negative areas? How can you assume they are the same magnitude?

[prgalois]

Thank you for answering and for your videos! :D

[TerukiVAL]

why is it [ sin x - cos x], if the given is f(x) = cos x, g(x) = sin x, and the f(x) came first, shouldn't if be [cos x - sin x] instead? i'm confused, please help i'm having problem with this, thank you in advance!

[casualwatchingnp]

Shouldn't the answer be sqrt(2) not 2*sqrt(2)

[prgalois]

How would you find the intersection points between the sine and cosine of your example ''algebraically'' i.e. without graphing ?

[bato]

thanks for the algebraically answer, awesomeee, I was killing myself for the last two hours.

[AR_BSME]

Thumbs down for doing a baby problem and not a test question