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Question Number 58720 by Forkum Michael Choungong last updated on 28/Apr/19

find (dy/dx) given that  y = cos(x°)

$${find}\:\frac{{dy}}{{dx}}\:{given}\:{that}\:\:{y}\:=\:{cos}\left({x}°\right) \\ $$

Answered by tanmay last updated on 28/Apr/19

180^o =π radian  x^o =((πx)/(180)) radian  y=cos(((πx)/(180)))  (dy/dx)=−sin(((πx)/(180)))×(π/(180))

$$\mathrm{180}^{{o}} =\pi\:{radian} \\ $$$${x}^{{o}} =\frac{\pi{x}}{\mathrm{180}}\:{radian} \\ $$$${y}={cos}\left(\frac{\pi{x}}{\mathrm{180}}\right) \\ $$$$\frac{{dy}}{{dx}}=−{sin}\left(\frac{\pi{x}}{\mathrm{180}}\right)×\frac{\pi}{\mathrm{180}} \\ $$

Answered by malwaan last updated on 29/Apr/19

y=cos(x)  (dy/dx)=−sin(x)

$${y}={cos}\left({x}\right) \\ $$$$\frac{{dy}}{{dx}}=−{sin}\left({x}\right) \\ $$

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