7 3 5 7 5 3
sin (x)*cos(x) cos(x)*sin(x) 7*cos (x)*sin (x) cos (x)*sin(x) 7*cos (x)*sin (x)
-------------- + ------------- - ----------------- - -------------- + -----------------
2 2 2 2 2
$$\frac{1}{2} \sin^{7}{\left (x \right )} \cos{\left (x \right )} - \frac{7}{2} \sin^{5}{\left (x \right )} \cos^{3}{\left (x \right )} + \frac{7}{2} \sin^{3}{\left (x \right )} \cos^{5}{\left (x \right )} - \frac{1}{2} \sin{\left (x \right )} \cos^{7}{\left (x \right )} + \frac{1}{2} \sin{\left (x \right )} \cos{\left (x \right )}$$