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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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