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    If θ = 30°, then what will be the value of sinθcosθ?
    Question

    If θ = 30°, then what will be the value of sinθcosθ?

    A.

    38\frac{3}{8}​​

    B.

    36\frac{\sqrt3}{6}​​

    C.

    32\frac{\sqrt3}{2}​​

    D.

    34\frac{\sqrt3}{4}​​

    Correct option is D

    Given:

    θ = 30°30\degree

    Then, sinθ cosθ =?

    Concept Used:

    ​sin 30°30\degree​ =12\frac 12​​

    cos 30°30\degree​ =32\frac{\sqrt 3}2​​

    Solution:

    ​sinθ cosθ = sin 30°30\degreecos30°30\degree=12\frac 12×32\times\frac {\sqrt3}2 =34\frac {\sqrt 3}4​​​

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