Question

Find the value of x in each of the following : 2sin3x=√3

Answer 1

TRIGONOMETRY :  

Trigonometry is derived from Greek words ‘tri’ , ‘gon’ and ‘metron’.  

Trigonometry is the study of the relationship between the sides and angles of a triangle.

SOLUTION:

Given :  

2 sin 3x = √3

sin 3x = √3/2

sin 3x = sin 60°

[sin 60° = √3/2]

3x = 60°

x = 60°/3 = 20°

x = 20°

Hence, the value of x  is 20°.

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Answer 2

$2 \sin3x = \sqrt{3} \\ = > \sin3x = \frac{ \sqrt{3} }{2} \\ = > \sin3x = \sin60 \degree \\ = > 3x = 60 \degree \\ = > x = \frac{60 \degree}{3} \\ = > x = 20 \degree$
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