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

Question

The number of tangents with positive slope that can be drawn from the origin to the curve y=sin x is (A) 0 (B) 2 (C) 4 (D) infinitely many

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/m-wnlqizjvqd1t.png" /> Slope of OP=cosα =(sin α /α ) ⇒ tan α =α (which is true for infinitely many positive values of âα â )

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

$0$

$2$

$4$

infinitely many

Slope of $OP = cos α = \frac{s in α}{α}$
$\Rightarrow t an α = α$
(which is true for infinitely many positive values of $‘ α ’$ )

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

0

2

4

infinitely many

Slope of OP=cosα=αsinα​ ⇒tanα=α (which is true for infinitely many positive values of ‘α’ )

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

$0$

$2$

$4$

Slope of $OP = cos α = \frac{s in α}{α}$
$\Rightarrow t an α = α$
(which is true for infinitely many positive values of $‘ α ’$ )