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Apr
19
comment Show that $\sin \theta = \frac{\cos(0.5\theta)-\cos(1.5\theta)}{2\sin (0.5\theta)}$
See mathworld.wolfram.com/ProsthaphaeresisFormulas.html
Apr
19
answered Evaluate: $\csc^2\left(\frac{\pi}{9}\right)+\csc^2\left(\frac{2\pi}{9}\right)+\csc^2\left(\frac{4\pi}{9}\right)$
Apr
19
answered Calculate $\sin\dfrac{3\pi}{14}-\sin\dfrac{\pi}{14}-\sin\dfrac{5\pi}{14}$
Apr
19
comment $\sqrt{a} +\sqrt{b} = 20$. What is the maximum value of $a-5b$?
@zz20s, Please Google, u'll find too many links:)
Apr
19
answered $\sqrt{a} +\sqrt{b} = 20$. What is the maximum value of $a-5b$?
Apr
17
comment Solving Equation for $x$
Related : math.stackexchange.com/questions/384090/…
Apr
17
answered Solving Equation for $x$
Apr
17
comment Geometric Series question
@Maths2468, See en.wikipedia.org/wiki/… and en.wikipedia.org/wiki/…
Apr
17
answered The number $2$ is a real root of $z^3=8$. Find the distance $|2-w|$ if $w$ is a complex root of $z^3=8$?
Apr
17
answered Geometric Series question
Apr
17
comment If a chord joining the points $P(a\sec\alpha,a\tan\alpha)$ and $Q(a\sec\beta,a\tan\beta)$ on the hyperbola $x^2-y^2=a^2$ is a normal to it at $P$,then
@Brahmagupta, Please find the updated version.
Apr
17
revised If a chord joining the points $P(a\sec\alpha,a\tan\alpha)$ and $Q(a\sec\beta,a\tan\beta)$ on the hyperbola $x^2-y^2=a^2$ is a normal to it at $P$,then
deleted 56 characters in body
Apr
17
comment If primitive root modulo $mn$, then primitive root modulo $m$ and $n$
Related : math.stackexchange.com/questions/170648/…
Apr
17
comment Prove that 4 is not a primitive root modulo n, for $ n \ge 2$
@CnR, What is the order of $a\pmod m,$ if $a$ is a primitive root $\pmod m$
Apr
17
comment Prove that 4 is not a primitive root modulo n, for $ n \ge 2$
Similarly you can prove $$4^{\phi(m)/2}\equiv1\pmod m$$
Apr
17
comment How to calculate $\lim\limits_{x\to 0} \frac{[\sin{x}-x][\cos({3x})-1]}{x[e^x -1]^4}$ without using L'Hôpital's Rule?
See math.stackexchange.com/questions/387333/…
Apr
17
answered Show that $\tan \alpha \tan \beta + \tan \beta\tan \gamma +\tan \gamma\tan \alpha =1$
Apr
17
answered Show that $\tan \alpha \tan \beta + \tan \beta\tan \gamma +\tan \gamma\tan \alpha =1$
Apr
16
answered Show that $\gcd(80,8a^2+1)=1$
Apr
16
answered How can I solve this problem $\sqrt{30 \sqrt{30 \sqrt{30 …}}}$