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Jul
25
answered Prove that $\alpha + \beta=\frac {\pi}{2}$
Jul
24
comment How many solutions for $(6b)^b\equiv (12b-k)^b\mod p$?
@Kurtul, $$b\equiv0\pmod{p-1}$$ is another set of solutions. $$k\equiv18b\pmod p $$ where $b$ is even is another set
Jul
24
comment Find the $\int \frac{(1-y^2)}{(1+y^2)}dy$
@Kashka, Write $$1-y^2=A+B(1+y^2)$$
Jul
24
answered Find the $\int \frac{(1-y^2)}{(1+y^2)}dy$
Jul
23
comment About the solution of $2^x-x^x=0$
We have $$\left(\dfrac x2\right)^x=1$$
Jul
23
answered Point of intersection of $f(x)=\sin(2x)+\cos(2x)$ and the $x$-axis
Jul
23
answered Show the equation $x^2+(3a-2)x+a(a-1)=0$ has real roots for all values of a∈R and show that $x^2-x+1$ has same sign for all values of x
Jul
23
answered Finding $\frac {a}{b} + \frac {b}{c} + \frac {c}{a}$ where $a, b, c$ are the roots of a cubic equation, without solving the cubic equation itself
Jul
23
comment Prove that $ \tan40° + \sqrt 3 =4 \sin40° $
Related : math.stackexchange.com/questions/1202700/… and math.stackexchange.com/questions/10661/…
Jul
22
comment Finding $\frac {a}{b} + \frac {b}{c} + \frac {c}{a}$ where $a, b, c$ are the roots of a cubic equation, without solving the cubic equation itself
Put $x=2\cos y$
Jul
22
comment How to simplify $\sin^4 (x)$?
@Meaghan, If $\cos^2y=\dfrac{1+\cos2y}2,\cos^22x=?$
Jul
22
answered Line touching a curve at a single point
Jul
22
comment Quantitative aptitude type question
What is probable here?
Jul
22
comment How to simplify $\sin^4 (x)$?
@Meaghan, Don't you notice : Use $\cos2y=2\cos^2y-1$ for $\cos^22x$
Jul
22
answered Quantitative aptitude type question
Jul
22
revised How to simplify $\sin^4 (x)$?
added 58 characters in body
Jul
22
answered How to simplify $\sin^4 (x)$?
Jul
22
answered Find the Limit $\lim_{n \rightarrow \infty}\frac{1}{(n+1) \log (1+\frac{1}{n})}$
Jul
22
comment $\lim_{n \to \infty} (\sqrt{9n^2 + 2n + 1} - 3n) = \frac{1}{3}$
@taro, Related : math.stackexchange.com/questions/1205475/…
Jul
22
answered Is the substitution of standard angles while proving the equality of trigonometric formulas allowed?