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

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The number of tangents with positive slope that can be drawn from the origin to the curve

y = \sin x

is

MathematicsApplication of DerivativesJEE Main

Options:

A $0$
B $2$
C $4$
D infinitely many

Solution:

2498 Upvotes Verified Answer

The correct answer is: infinitely many

Slope of

O P = c o s α = \frac{\sin α}{α}

\Rightarrow \tan α = α

(which is true for infinitely many positive values of

‘ α ’

)

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