# Using the Formula, Tan 2a =(2 Tan a )/(1- Tan^2 A) Find the Value of Tan 600, It Being Given that Tan 300 = 1/Sqrt(3). - Mathematics

Using the formula, tan 2A =(2 tan A )/(1- tan^2 A) find the value of tan 600, it being given that tan 300 = 1/sqrt(3).

#### Solution

A = 30
⇒ 2A = 2 × 300 = 60
By substituting the value of the given T-ratio, we get:

tan 2A = (2 tan A )/(1- tan^2 A)

⇒ tan 60^0 = (2  tan 30^0)/(1- tan^2 30^0) = (2xx (1/sqrt(3)))/(1-(1/sqrt(3))^2  = ((2/sqrt(3)))/(1-1/3) = ((2/sqrt(3)))/(2/3) = (2/sqrt(3))= 3/2 = sqrt(3)

∴tan 60^0 = sqrt(3).

Concept: Trigonometric Ratios and Its Reciprocal
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#### APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 6 T-Ratios of some particular angles
Exercises | Q 17
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