Find the area between f(x)=cosx and g(x)=-sinx on [0,pi/2]

Question

I got these wavy curves near the x-axis but my trig is weak. I know I need to stay in the 1st quadrant since it's on [0,pi/2]. I can't find any videos or in step details online so far. Any help?

Answer 1

Graph the 2 functions.

You will see that the area involved splits into 2 identical areas.

So integrate cos x-sinx from 0 to pi/4.

The area you want is simply double the value of the integral.