Question

Find the value of x in each of the following : √3 sin x=cos x

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 :  

√3sinx = cosx

√3sinx = cosx

sinx / cosx = 1/√3

[ By cross multiplying ]

tanx = 1/√3

[sinθ /cosθ  = tanθ ]

tanx = tan 30°

[tan 30° = 1/√3]

x = 30°

Hence, the value of x  is 30°.

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Answer 2

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