query: How to prove the the addition of tangent is the same as the multiplication?
positive_passages.docid: 32197
positive_passages.text: Prove that $\tan A + \tan B + \tan C = \tan A\tan B\tan C,$ $A+B+C = 180^\circ$
negative_passages.docid: 2251
negative_passages.text: Can someone give me a hint on how to prove this?
negative_passages.docid: 108873
negative_passages.text: How would one be able to prove mathematically that $1+1 = 2$?
negative_passages.docid: 40549
negative_passages.text: How to proof the the derivative of $x^2$ is $2x$?
negative_passages.docid: 31977
negative_passages.text: How to prove sum of powers property of roots of unity?
negative_passages.docid: 61666
negative_passages.text: Proving $ [(\vec{a}+\vec{b})\times(\vec{b}+\vec{c})]\cdot(\vec{c}+\vec{a})=2\vec{c}\cdot(\vec{b}\times\vec{a})$
negative_passages.docid: 115131
negative_passages.text: Proof that sum of integrals of same function on adjacent intervals equals the integral over both intervals
negative_passages.docid: 38206
negative_passages.text: Prove Pascal's Rule Algebraically
negative_passages.docid: 123418
negative_passages.text: Laws of addition of Vectors
negative_passages.docid: 50417
negative_passages.text: Prove that the triangles $ABC$ and $AB^{'}C^{'}$ have the same incentre.
negative_passages.docid: 118727
negative_passages.text: $g(x+y)+g(x)g(y)=g(xy)+g(x)+g(y)$ for all $x,y$.
negative_passages.docid: 21788
negative_passages.text: Proving that if $ad-bc = \pm 1$, then $\gcd(x,y) = \gcd(ax +by, cx + dy)$
negative_passages.docid: 89175
negative_passages.text: Proof of $(a+b)^{n+1}$
negative_passages.docid: 101899
negative_passages.text: Proof By Induction of a Sum
negative_passages.docid: 973
negative_passages.text: Is the property "being a derivative" preserved under multiplication and composition?
negative_passages.docid: 49408
negative_passages.text: Proof of the derivative of ln(x)
negative_passages.docid: 128603
negative_passages.text: Lie algebra and tangent space at the identity are isomorphic