sinθ = 3/5, 0 < θ < (π/2) হলে tanθ = ?

A 3/4

B 4/5

C 5/4

D 4/3

Solution

Correct Answer: Option A

sinθ = 3/5
∴cosθ = √(1 - sin2θ)
         = √( 1 - 9/25)
         = √(16/25)
         = 4/5

∴ tanθ = sinθ/cosθ
          = (3/5)/(4/5)
          = (3/5) × (5/4)
          = 3/4

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