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Apr
16
revised Showing $\sin{\frac{\pi}{13}} \cdot \sin{\frac{2\pi}{13}} \cdot \sin{\frac{3\pi}{13}} \cdots \sin{\frac{6\pi}{13}} = \frac{\sqrt{13}}{64}$
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Apr
16
answered Showing $\sin{\frac{\pi}{13}} \cdot \sin{\frac{2\pi}{13}} \cdot \sin{\frac{3\pi}{13}} \cdots \sin{\frac{6\pi}{13}} = \frac{\sqrt{13}}{64}$
Apr
16
comment Minimal polynomial over Q
@Padraic, What is a primitive 7th root?
Apr
16
answered Find the parameter $\alpha$ that …
Apr
16
answered Minimal polynomial over Q
Apr
16
comment Find value range of $2^x+2^y$
$$2^x(2^x-1)=2^y(1-2^y)$$
Apr
16
answered Solving $|z|i+2z=\sqrt{3}$
Apr
16
comment Finding Mod Value
As $7\cdot71$ $$153\equiv-1\pmod7\implies153^{197}\equiv(-1)^{197}\equiv-1$$ and $$153\equiv11\pmod{71},197\equiv57\pmod{\phi(71)}; 153^{197}\equiv11^{57}\pmod{71}$$
Apr
16
comment Period of $f(2x+3)+f(2x+7)=2$
As $2x+9=2(x+4)+1$
Apr
16
answered Use comparison or limit comparison test to determine whether the series converge
Apr
16
comment When is $ 4 ab \sin^2 θ = (a+b)^2 $ ?
Related : math.stackexchange.com/questions/747344/…
Apr
16
comment how do i prove that $17^n-12^n-24^n+19^n \equiv 0 \pmod{35}$
@mathse, Thanks for your observation
Apr
16
revised how do i prove that $17^n-12^n-24^n+19^n \equiv 0 \pmod{35}$
edited body
Apr
15
answered What is the Cartesian form of $r = \dfrac2{1 + \sin \theta}$?
Apr
15
revised how do i prove that $17^n-12^n-24^n+19^n \equiv 0 \pmod{35}$
added 19 characters in body
Apr
15
comment How do I solve this definite integral?
@Proka, Please find the edited version
Apr
15
revised How do I solve this definite integral?
added 1534 characters in body
Apr
15
answered how do i prove that $17^n-12^n-24^n+19^n \equiv 0 \pmod{35}$
Apr
15
comment Prove that for all integers $n \ge 0$, $5^n \equiv 1+4n\pmod {16}$
My favorite one
Apr
15
comment How to prove that $\pi \frac{e^{it\frac{\pi}{2}}-e^{it\frac{3\pi}{2}}}{1 - e^{2\pi it}} = \frac{\pi}{2\cos\left(\frac{\pi t}{2}\right)}$
@dcholleton, Sorry for the typo.Enriched the answer