Question

7. If y=cos + and x - 3t then . find at dx t-2(give ans in degree)​

Answer 1

Answer:

$y = \cos(\pi t + \frac{\pi}{2} ) \\ \color{blue}{ \underline{differentiate \: w.r.t \: \: ‘t’} : } \\ \frac{dy}{dt} = - \sin(\pi t + \frac{\pi}{2} ) \times \pi - (i) \\ \\ x = 3t \\ \color{blue}{ \underline{differentiate \: w.r.t \: \: ‘t’} : } \\ \frac{dx}{dt} = 3 - (ii)\\ \color{blue}{ \underline{by \: {eq}^{n} \: (i) \: and \: (ii) \:at \:‘ t ’= 2 } : } \\ \frac{dy}{dx} = \frac{ \frac{dy}{dt} }{ \frac{dx}{dt} } = \frac{ - \sin(\pi t + \frac{\pi}{2} ) \times \pi}{3} \\ = \frac{ - \sin(2\pi + \frac{\pi}{2} ) \times \pi}{3} \\ = \frac{ - \sin(\frac{\pi}{2} ) \times \pi}{3} \\ = \frac{ -\pi}{3} \\ = - 60 \degree \\ \\ \red{\mathfrak{ \large{\underline{{Hope \: It \: Helps \: You}}}}} \\ \blue{\mathfrak{ \large{\underline{{Mark \: Me \: Brainliest}}}}}$