Question

Prove that using the Mathematical induction sin(α) + sin(α + π/6) + sin(α + 2π/6) + ... + sin(α + (n - 1)π/6) = (sin(α + (n - 1)π/12)) x sin(nπ/12))/sin(π/12)

Answer 1

P(n) is the statement 

Nr.

Dr.

P(k + 1) is true whenever P(k) is true. 

So by the principle of mathematical induction P(n) is true.