Question

Q21. The slope of the tangent to the curve
(1 Point)
x = a sinº 1, y = b cos` t at t = z is
1
0
not defined
-1​

Answer 1

$\huge\pink{\boxed{\blue{\boxed{ \purple{ \boxed{{\pink{Answer}}}}}}}} \\ \large\pink{\boxed{\blue{\boxed{ \purple{ \boxed{{\pink{Your~answer↓}}}}}}}} \\ \small\bold\blue{x = a \: sint \: and \: y \: = b \: cost} \\ \frac{dx}{dt} \: = a \: cost \\ \frac{dy}{dt} = - b \: sint \\ \frac{dy}{dx} = \frac{ \frac{dy}{dt} }{ \frac{dx}{dt} } = \frac{ - b \: sint}{a \: cost} \\ = - \frac{b}{a} tant \\ so \: \frac{dy}{dx} \: at \: t \: = \frac{\pi}{2} \: = - \frac{b}{a} tan \frac{\pi}{2} = \infty$