What will be the value of 2 cos 45° × sin 15°

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We know that,
2 cosA sinB = sin(A + B) – sin(A – B)
⇒ 2 cos 45° sin 15°
= sin (45° + 15°) – sin (45° – 15°)
= sin 60° – sin 30°

=	√3	-	1
	2		2

=	√3 - 1
	1