Question

4sinx.cosx=√3.find the value of x.​

Answer 1

Answer

Value of x is 30° or 60°

Explanation

Given

4sinxcosx = √3

To find

The value of x

4 sinxcosx = √3

⇒ 2 × 2sinxcosx = √3

⇒ 2sinxcosx = √3/2

Now, we know that 2sin∅cos∅ = sin2∅

hence, we get

sin2x = √3/2

⇒ sin2x = sin60° or sin 120° (since sin60° = sin120° = √3/2)

⇒ 2x = 60° or 120°

⇒ x = 30° or 60°

Answer 2

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