Question

how to differentiate x = L sin Ɵ/2 + L/2 sin Ɵ/2

Answer 1

How to differentiate $x = L\sin \left(\frac{\theta}{2}\right) + L / 2\sin \left(\frac{\theta}{2}\right)$

Solution:

$$x = L \sin \left(\frac {\theta}{2}\right) + L / 2 \sin \left(\frac {\theta}{2}\right) = \frac {3}{2} L \sin \left(\frac {\theta}{2}\right)$$ $$\frac {d x}{d \theta} = \frac {3}{2} \cdot \frac {1}{2} L \cos \left(\frac {\theta}{2}\right) = \frac {3}{4} L \cos \left(\frac {\theta}{2}\right)$$

Answer: $\frac{dx}{d\theta} = \frac{3}{4} L\cos \left(\frac{\theta}{2}\right)$