Question

what is the value of sin2(30°)
(it is not square)​

Answer 1

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Answer 2

The value of sin2(30°) is √3/2  

Given:

Sin2(30°)  

To find:

The value of sin2(30°)

Solution:

As we know from trigonometric formulas Sin 2A = 2Sin A Cos A

⇒ Take A = 30°

⇒ Sin2(30°) = 2 Sin 30° Cos 30°

From trigonometric table Sin 30° = 1/2 and Cos 30° = √3/2

2 Sin 30° Cos 30° = $2(\frac{1}{2} )(\frac{\sqrt{3} }{2} )$ = $\frac{\sqrt{3} }{2}$

⇒ Sin2(30°) = $\frac{\sqrt{3} }{2}$                  

                                          or

We can find it in another way as given below

Given Sin 2(30°)  

Since 2 × 30° =  60°

⇒ Sin 2(30°) = Sin 60°  

From trigonometric table Sin 60° = √3/2  

⇒ Sin 60° = √3/2

The value of sin2(30°) = √3/2  

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