If-x-a-1-cos-i-asin-j-find-the-resultant-of-x-in-its-simplest-form-

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

If x = a (1 - \cos θ) i + asin θ j

find the resultant of x in its simplest form .

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

x = 2 a {s i n}^{2} (\frac{θ}{2}) i + 2 a s i n (\frac{θ}{2}) c o s (\frac{θ}{2}) j

= 2 a s i n (\frac{θ}{2}) {s i n (\frac{θ}{2}) i + c o s (\frac{θ}{2}) j} \Rightarrow

∣∣ x ∣∣ = 2 ∣ a s i n (\frac{θ}{2}) ∣ .

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

God bless you sir

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

a n d y o u t o o s i r .