# Using the Formula, Sin a = Sqrt((1-cos 2a)/2)  Find the Value of Sin 300, It Being Given that Cos 600 = 1/2 - Mathematics

Using the formula, sin A = sqrt((1-cos 2A)/2)  find the value of sin 300, it being given that cos 600 = 1/2

#### Solution

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

sin A =sqrt((1- cos 2A)/2)

sin 30^0 = sqrt((1-cos 60^0)/2) = sqrt(1-1/2)/2 = sqrt((1/2)/2) = sqrt(1/4) =1/2

∴ sin 30^0 = 1/2

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 19
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