# If a = 450, Verify that : (I) Sin 2a = 2 Sin a Cos a - Mathematics

If A = 450, verify that :
(i) sin 2A = 2 sin A cos A

#### Solution

A= 45

⇒ 2A = 2xx45^0=90^0

(i) sin 2A = sin 90^0=1

2 sin A cos A = 2 sin 45^0 cos 45 ^0 = 2 xx1/sqrt(2) xx 1/sqrt(2) = 1

∴ sin 2A = 2 sin A cos A

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 12.1
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