Reputation
534
Top tag
Next privilege 1,000 Rep.
Create new tags
Badges
2 10
Newest
 Teacher
Impact
~7k people reached

  • 0 posts edited
  • 0 helpful flags
  • 66 votes cast
6m
accepted How to proceed from $\cot(x)\cot(2x)-\cot(2x)\cot(3x)-\cot(3x)\cot(x) = 1$
2h
comment How to proceed from $\cot(x)\cot(2x)-\cot(2x)\cot(3x)-\cot(3x)\cot(x) = 1$
I'm sorry but i don't know what to do after multiplying $2\sin(4x)$ by 2 and taking out the $\frac{1}{2}$.
2h
comment How to proceed from $\cot(x)\cot(2x)-\cot(2x)\cot(3x)-\cot(3x)\cot(x) = 1$
@labbhattacharjee I'm sorry but isn't $\cot(0)$ undefined?
2h
asked How to proceed from $\cot(x)\cot(2x)-\cot(2x)\cot(3x)-\cot(3x)\cot(x) = 1$
4h
accepted Proving russian roulette survival statistics
4h
accepted Hint: $\sin^2(6x)-\sin^2(4x) = \sin(2x)\sin(10x)$
21h
revised Hint: $\sin^2(6x)-\sin^2(4x) = \sin(2x)\sin(10x)$
added 56 characters in body
21h
comment Hint: $\sin^2(6x)-\sin^2(4x) = \sin(2x)\sin(10x)$
@ThomasAndrews I'm sorry, i'm often clumsy like that. Correcting.
21h
comment Hint: $\sin^2(6x)-\sin^2(4x) = \sin(2x)\sin(10x)$
I can already get the answer through the R.H.S, i'm looking for a way to convert the L.H.S to the R.H.S instead.
21h
asked Hint: $\sin^2(6x)-\sin^2(4x) = \sin(2x)\sin(10x)$
Jan
30
accepted Is the following proof correct for $n(n+1)(n+5) = 3X$
Jan
30
comment Is the following proof correct for $n(n+1)(n+5) = 3X$
I made a mistake in the comment above. We're trying to prove that $n(n+1)(n+5)$ is a multiple of 3 for all natural numbers n.
Jan
30
comment Is the following proof correct for $n(n+1)(n+5) = 3X$
No. The objective is to prove $n(n+1)(n+5)$ is a multiple of 3 by induction. In it, we're assuming that any natural number n is a multiple of 3 and then applying the induction case to prove that if n is a multiple of 3, so must n+1. So, it is not given that n is a multiple of 3, but it is an assumption for the induction.
Jan
30
comment Is the following proof correct for $n(n+1)(n+5) = 3X$
I'm sorry but i don't understand. Why is (n+1)(n+2+3) consecutive?
Jan
30
comment Is the following proof correct for $n(n+1)(n+5) = 3X$
Since this is a proof by induction, i assume that Y is an integer since the assumption is that n is a multiple of 3.
Jan
30
asked Is the following proof correct for $n(n+1)(n+5) = 3X$
Jan
27
accepted Solution for $\frac{8(9^n)}{8(9^n)+2(4^n)} \gt 0.99$
Jan
27
comment Solution for $\frac{8(9^n)}{8(9^n)+2(4^n)} \gt 0.99$
Already tried that. Got stuck trying to figure out what to do with the other $4^n$
Jan
27
asked Solution for $\frac{8(9^n)}{8(9^n)+2(4^n)} \gt 0.99$
Jan
25
awarded  Teacher