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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

Options

  1. A0
  2. B2
  3. C4
  4. Dinfinitely many

Correct answer

D. infinitely many

Step-by-step solution

Slope of O P = c o s α = sin ⁡ α α ⇒ tan ⁡ α = α (which is true for infinitely many positive values of ‘ α ’ )

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