2.3.3 So­lu­tion dot-c

Ques­tion:

Find the in­ner prod­uct of the func­tions $\sin(x)$ and $\cos(x)$ on the in­ter­val 0 $\raisebox{-.3pt}{$\leqslant$}$ $x$ $\raisebox{-.3pt}{$\leqslant$}$ 1.

An­swer:

$$\left\langle\vphantom{\cos(x)}\sin(x)\hspace{-\nulldelimiter... ...frac 14 \cos(2x)\bigg\vert _0^1 = \frac 14 \Big(1-\cos(2)\Big)$$