We have to prove Let us start with LHS Using the double angle formula we know that and also from the first trigonometric identity we get... View Article
Inverse function is also represented by arc cos-1(-1/2)= arccos(-1/2) arccos(- 1 / 2) Assume y = arccos(- 1 / 2). cos y = – 1 / 2 with 0... View Article
Let p(n)=12+22+32+....+n2= n(n+1)(2n+1)/ 6 For n = 1, the statement reduces to 12 =1 · 2 · 3/6 and is obviously true. Assuming the statement is... View Article