1. Tardigrade
  2. Question
  3. Mathematics
  4. The number of tangents with positive slope that can be drawn from the origin to the curve y=sin x is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The number of tangents with positive slope that can be drawn from the origin to the curve $y=sin x$ is

NTA AbhyasNTA Abhyas 2020Application of Derivatives

Solution:

Solution
Slope of $OP=cos\alpha =\frac{sin \alpha }{\alpha }$
$\Rightarrow tan \alpha =\alpha $
(which is true for infinitely many positive values of $‘\alpha ’$ )