query: How to use Euler formula to prove the following conclusion
positive_passages.docid: 34590
positive_passages.text: Fourier series of Log sine and Log cos
negative_passages.docid: 45958
negative_passages.text: Proof that the Euler characteristic is additive
negative_passages.docid: 41191
negative_passages.text: How to prove this $\pi$ formula?
negative_passages.docid: 77253
negative_passages.text: Proof of Lagrange Identity
negative_passages.docid: 119759
negative_passages.text: Help ending a proof using binomial theorem: $\sum_{k=0}^n {n \choose k}\cdot\frac{(-1)^k}{k+1} = \frac{1}{n+1}$
negative_passages.docid: 29717
negative_passages.text: Not sure how to go about this group theory proof
negative_passages.docid: 85992
negative_passages.text: how to prove the chain rule?
negative_passages.docid: 31027
negative_passages.text: Ahlfors "Prove the formula of Gauss"
negative_passages.docid: 137608
negative_passages.text: Proof of Euclid's formula for primitive Pythagorean Triples
negative_passages.docid: 113943
negative_passages.text: Prove this equality by using Newton's Binomial Theorem
negative_passages.docid: 65141
negative_passages.text: Simple proof Euler–Mascheroni $\gamma$ constant
negative_passages.docid: 17690
negative_passages.text: Ways to prove Euler's formula for $\zeta(2n)$
negative_passages.docid: 1966
negative_passages.text: Stirling's formula: proof?
negative_passages.docid: 101499
negative_passages.text: Prove $e^{x+y}=e^{x}e^{y}$ by using Exponential Series
negative_passages.docid: 24407
negative_passages.text: How to prove the Fibonacci sum $\sum \limits_{n=0}^{\infty}\frac{F_n}{p^n} = \frac{p}{p^2-p-1}$
negative_passages.docid: 63769
negative_passages.text: Group theory proof of Euler's theorem ($a^{\phi(m)} \equiv 1\mbox{ }(\mbox{mod }m)$ if $\gcd(a,m)=1$)
negative_passages.docid: 127733
negative_passages.text: How to prove De Morgan’s laws without using contradictions