Question

the value of 2 sin 60 ° . cos 30°​

Answer 1

Given:

2 sin 60 °.cos 30°​

We have to find the value of 2 sin 60 °.cos 30°​ .

Solution:

2 sin 60 °.cos 30°​

= $2(\dfrac{\sqrt{3} }{2} )(\dfrac{\sqrt{3} }{2} )$

= $\dfrac{3}{2}$

$\therefore$ 2 sin 60 °.cos 30°​ = $\dfrac{3}{2}$

Hence, the value of 2 sin 60 °.cos 30° is equal to $\dfrac{3}{2}$.

Answer 2

Given : 2 sin 60 ° . cos 30°​

To Find : Value

Solution:

2 sin 60 ° . cos 30°​

As we know that

Sin 0°= 0  , Cos0° = 1

Sin 30° = 1/2    ,  Cos30° = √3 / 2

Sin 45°°= 1/√√2 , Cos 45°°= 1/√√2

Sin 60° = √3 / 2  Cos 60° = 1/2

Sin 90°= 1  , Cos90° = 0

Substituting sin 60 ° and cos 30°​ values

= 2 * (√3 / 2)(√3 / 2)

= 2  * 3 / 4

= 3/2

2 sin 60 ° . cos 30°​ = 3/2

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