Reputation
Next tag badge:
394/400 score
115/80 answers
Badges
11 100 182
Impact
~1.2m people reached

1m
comment Is integration of $x cosec(x)$ defined?
Try Integrating by parts, $$\int x\cdot\csc x\ dx=x\int\csc x\ dx-\int\left[\dfrac{dx}{dx}\int\csc x\ dx\right]dx=\cdots$$
4h
comment A proof by induction and trigonometry
@addde, See mathworld.wolfram.com/WernerFormulas.html and mathworld.wolfram.com/ProsthaphaeresisFormulas.html
1d
comment How do i solve this equation ${\mathbb{R}}$: $3 \sin^3x+2 \cos^3x=2 \sin x+\cos x$?
@MichaelBurr, How about this?
1d
comment Mathematical induction problem. Let $S_{n}=\left (3+\sqrt{5}\right)^{n}+\left(3-\sqrt{5}\right)^{n}$
Related : math.stackexchange.com/questions/936479/…
1d
comment Parametric to implicit form of a curve
@NicolásSiplis, Please find the alternative method
1d
comment Parametric to implicit form of a curve
@NicolásSiplis, It's even simpler! $t=x-1$
2d
comment Calculating remainder of $666^{666}$ when divided by $1000$.
@user26486, Please find the rectified version
2d
comment $(x+y+z)^3-(y+z-x)^3-(z+x-y)^3-(x+y-z)^3=24xyz$?
@user103816, $$(a+b+c)^3-a^3=(a+b+c-a)\{(a+b+c)^2+(a+b+c)a+a^2\}$$ $$=(b+c)[3(a^2+ca+ab+bc)-(b^2-bc+c^2)]$$ $$=3(b+c)(c+a)(a+b)-(b^3+c^3)$$ But this is more complex than your method
Jun
30
comment Binomial Expansion of $(1-x)^{1/n}$.
What if $n=0?$ See en.wikipedia.org/wiki/Binomial_series
Jun
30
comment Polynomial whose one of its roots is $\cos(\pi/7)$
@VladimirLenin,math.stackexchange.com/questions/638874/… shows that $$P(x)=8x^3-4x^2-4x+1$$
Jun
30
comment Prove that to any three numbers positive integers
Related : math.stackexchange.com/questions/392250/…
Jun
29
comment calculating 2 sums of series
@user246608, Welcome! Which is meant here when you say "easier and faster"
Jun
29
comment calculating 2 sums of series
@user246608, Set $n=1,2,3,\cdots,m$ to find the partial sum
Jun
29
comment How many square millimetres are in 0.000075 square metres?
$1$ M $=1000$ MM $\implies1$ Sq. M $=1000^2$ Sq. MM
Jun
29
comment Expansion and factorization to determine roots of equations
@BusyAnt, formally known as en.wikipedia.org/wiki/Vieta's_formulas
Jun
29
comment Modulo calculation with multiple exponents, via CRT
possible duplicate of (14^2014)^2014 mod 60 without a calculator
Jun
28
comment Prove that $\tan^6 20°+\tan^6 40°+\tan^6 80°$ is an integer
Related : math.stackexchange.com/questions/175736/…
Jun
28
comment Problems on Pythagorean triangle
@N.S., Please disclose what is "the first part" here?
Jun
28
comment Problems on Pythagorean triangle
@math131,I think the question meant: mathworld.wolfram.com/PrimitivePythagoreanTriple.html. Then the number in each case is exactly one. Else, $4d-d,4d,d+4d$ always are Pythagorean triplets whose sides are in Arithmetic Progression
Jun
28
comment Problems on Pythagorean triangle
@math131, Wiki: "A right triangle whose sides form a Pythagorean triple is called a Pythagorean triangle."