Sketching Trigonometric Curves: Tips and Tricks

[zeion]

Homework Statement

I need to sketch this curve from [0, pi/2]

y = sin⁴xcosx

Homework Equations

The Attempt at a Solution

I tried to generate this thing on a graphing program to see how it looked like.. otherwise I would have no idea what this is.

Is there some easy tips to use to sketch these weird curves? Like by the derivative or something funky?

 

[Mark44]

Sketch y = sinx.
Sketch y = sin⁴x. It's graph will be similar to the graph of y = sinx, except that no part of the graph of y = sin⁴x extends below the x-axis.

On the same graph as y = sin⁴x, graph y = cosx. The graph of y = sin⁴x*cosx will be the product of the two functions. Where one function's value is zero, the product of the two will be zero. Doing this, you should get a reasonably accurate graph.