JehuO541735 JehuO541735
  • 03-11-2022
  • Mathematics
contestada

I tried solving this and I got the 2nd option. Is it correct?

I tried solving this and I got the 2nd option Is it correct class=

Respuesta :

JahniaO458394 JahniaO458394
  • 03-11-2022

Explanation

We are required to determine the double angle for sin 120°.

We know that the double angle identity states thus:

So. we have:

[tex]\begin{gathered} \sin2\theta=2\sin\theta\cos\theta \\ \sin120\degree=\sin2(60\degree)=2\sin60\degree\cos60\degree \\ \Rightarrow2(\frac{\sqrt{3}}{2})(\frac{1}{2})=\frac{\sqrt{3}}{2} \end{gathered}[/tex]

Hence, the answer is:

[tex]\frac{\sqrt{3}}{2}[/tex]

The second option is correct.

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