In-a-curve-the-x-and-y-co-ordinate-is-function-of-t-is-given-by-the-equation-x-cos-t-and-y-sin-t-then-find-the-length-of-the-curve-for-t-0-to-t-pi-2-

Question Number 15045 by Tinkutara last updated on 07/Jun/17

In a curve the x and y co - ordinate is

function of t is given by the equation

x = \cos t and y = \sin t, then find the

length of the curve for t = 0 to t = \frac{π}{2} .

Answered by mrW1 last updated on 07/Jun/17

dL = \sqrt{{(dx)}^{2} + {(dy)}^{2}} = \sqrt{{(- \sin t)}^{2} + {(\cos t)}^{2}} dt = dt

L = \int_{0}^{π / 2} dL = {[t]}_{0}^{π / 2} = π / 2

Commented by Tinkutara last updated on 07/Jun/17

Thanks Sir!

Commented by arnabpapu550@gmail.com last updated on 12/Jun/17

Please try question No . 15661