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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Prove that: (sin 3x + sin x)sin x + (cos 3x - cos x)cos x = 0
Solution:
LHS = (sin 3x + sin x)sin x + (cos 3x - cos x)cos x
= sin 3x sin x + sin2x + cos 3x cos x - cos2x
= cos 3x cos x + sin 3x sin x - (cos2x - sin2x)
= cos (3x - x) - cos 2x [Because cos (A - B) = cos A cos B + sin A sin B and cos 2A = cos2A - sin2A]
= cos 2x - cos 2x
= 0
= RHS
NCERT Solutions Class 11 Maths Chapter 3 Exercise ME Question 2
Prove that: (sin 3x + sin x)sin x + (cos 3x - cos x)cos x = 0
Summary:
We got, (sin 3x + sin x)sin x + (cos 3x - cos x)cos x = 0. Hence Proved
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