tanθ = 1/2 হলে sin2θ এর মান কত?

A 2/3

B 3/2

C 5/4

D 4/5

Solution

Correct Answer: Option D

tanθ = 1/2
এখন, sin2θ = 2tanθ/(1+tan2θ) [এটি সূত্র]
                = 2×(1/2) / 1+(1/2)2
                   
= 1/ (1 + 1/4)
                = 1/(5/4)
               = 1 × (5/4)
               = 4/5

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