Chapter 3.03 5 10 QA: differentiate i) (sin x)^2 (also written as sin^2(x) ) ii) (cos x)^2 iii) (sin x)^2 + (cos x)^2 iv) (sin x)/x (hint: use the product or quotient rule) 22 28 35 WEP 36 37 38 39 53ab WEP (skip c) 55 WEP QB: It is important to learn "the derivative of sine is cosine" and "the derivative of cosine is -sin" by heart. But here's another way to think of it: i) The derivative of sin(x) is sin(x-a), where "a" is what value? ii) The derivative of cos(x) is cos(x-b), where "b" is what value? iii) What do you notice about how "a" and "b" relate to each other? iv) You could say that taking the derivative of sine or cosine shifts the _______ by __________. This assignment seems really short compared to many of our other assignments. That is because most of the fun we can have with trig derivatives involves changing the frequency, using sin(a*x) rather than sin(x), for example, and we won't see how to do that derivative until Chapter 3.04.