How to derive the equation from Line #1 to Line #2? I have tried different trigonometric functions but could not get it. 
2026-03-27 16:27:36.1774628856
How to derive the equation from trigonometric funtions
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Use identities
$$\cos \frac{\theta_n }{2} =\cos \left(\theta_n -\frac{\theta_n }{2}\right)=\cos\theta_n \cos\frac{\theta_n }{2} +\sin\theta_n \sin\frac{\theta_n }{2}$$
and
$$\sin \frac{\theta_n }{2} =\sin \left(\theta_n -\frac{\theta_n }{2}\right)=\sin\theta_n \cos\frac{\theta_n }{2} -\cos\theta_n \sin\frac{\theta_n }{2}$$