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If α = 30°, then find the value of 2sinαcosα.
Question

If α = 30°, then find the value of 2sinαcosα.

A.

1/√3

B.

√3/2

C.

√2/3

D.

2/√3

Correct option is B

Given:
A = 30°
Concept Used:

Solution:

2 sin α × cos α
=> 2 × sin 30° × cos 30°
=>2×12×32=>32The value of 2sinα×cosα is 32.\Rightarrow 2 \times \frac{1}{2} \times \frac{\sqrt{3}}{2} \\\Rightarrow \frac{\sqrt{3}}{2} \\\therefore \text{The value of } 2 \sin \alpha \times \cos \alpha \text{ is } \frac{\sqrt{3}}{2}.​​

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