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Question Number 36739 by tawa tawa last updated on 04/Jun/18

$$\mathrm{If}\mathrm{x}=\mathrm{a}(1-\cos \theta )\mathrm{i}+\mathrm{asin}\theta \mathrm{j}$$$$\mathrm{find}\mathrm{the}\mathrm{resultant}\mathrm{of}\mathrm{x}\mathrm{in}\mathrm{its}\mathrm{simplest}\mathrm{form}.$$

Commented by prof Abdo imad last updated on 05/Jun/18

$$x=2a{sin}^2\left(\frac{\theta }{2}\right)i+2asin\left(\frac{\theta }{2}\right)cos\left(\frac{\theta }{2}\right)j$$$$=2asin\left(\frac{\theta }{2}\right)\{sin\left(\frac{\theta }{2}\right)i+cos\left(\frac{\theta }{2}\right)j\}\Rightarrow$$$$\mid \mid x\mid \mid =2\mid asin\left(\frac{\theta }{2}\right)\mid .$$

Commented by tawa tawa last updated on 07/Jun/18

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}$$

Commented by maxmathsup by imad last updated on 07/Jun/18

$$andyoutoosir.$$

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