# Prove that sin x + sin 3x + … + sin (2n – 1) x for allnϵN.

Let, P(n) be the given statement,  Thus, P(1) is true.

Step2: Let, P(m) be true. Now, we need to show that P(m+1) is true when P(m) is true.

As P(m) is true         Thus, P(m+1) is divisible by x+y. So, by the principle of mathematical

induction P(n) is true for all n.

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