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# Find the Value Of X In the Following : Square Root 3 Sin X = Cos X - CBSE Class 10 - Mathematics

#### Question

Find the value of x in the following :

sqrt3 sin x = cos x

#### Solution

We have

sqrt3 sin x = cos x

Now by cross multiplying we get,

sqrt3 sin x = cos x

=> sin x/cos x = 1/sqrt3.........(1)

Now we know that

sin x/cos x = tan x .......(2)

Therefore from equation (1) and (2)

We get

tan x = 1/sqrt3 .......(3)

since

tan 30^2 = 1/sqrt3 ....(4)

Therefore, by comparing equation (3) and (4) we get,

x = 30^@

Therefore

x = 30^@`

Is there an error in this question or solution?

#### APPEARS IN

Solution Find the Value Of X In the Following : Square Root 3 Sin X = Cos X Concept: Trigonometric Ratios.
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