Question

Найти производную.
X=1+2*cos(pi/4)*t
Y=3*sin(pi/4)*t

Answer 1

$1); ; x(t)=1+2cos(frac{pi }{4}cdot t)\\y(t)=3sin(frac{pi}{4}cdot t)\\y'_{x}= frac{y'_{t}}{x'_{t}} = frac{-2sin(frac{pi}{4}cdot t)cdot frac{pi}{4}}{3cos(frac{pi}{4}cdot t)cdot frac{pi}{4}} =-frac{2}{3}, tg(frac{pi}{4}tcdot )=-frac{2}{3}, tgfrac{pi t}{4}$