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2 Cos X 1
0
Integral of
Cos 2 X
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Cos 2 X
Sin Cos 1
.2
Antiderivative of
1 Cos X
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teachoo.com
Ex 3.3, 10 - Prove that sin (n + 1)x sin (n + 2)x + cos (n+1)x
Ex 3.3, 10Prove that sin(𝑛 1)𝑥 sin(𝑛 2)𝑥 cos(𝑛 1)𝑥 cos(𝑛 2)𝑥=cos𝑥Solving L.H.S. We know that cos ( A – B) = cos A cos B sin A sin BHere, A = (n 1)x ,B = (n 2)xHence sin(𝑛 1)𝑥 sin(𝑛 2)𝑥 cos(𝑛 1)𝑥 cos(𝑛 2)𝑥 = cos [ (n 1)x – (n 2)x ]
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