query: Why is $\cos(x)$ the derivative of $\sin(x)$?
positive_passages.docid: 25569
positive_passages.text: Intuitive understanding of the derivatives of $\sin x$ and $\cos x$
negative_passages.docid: 94283
negative_passages.text: Different ways finding the derivative of $\sin$ and $\cos$.
negative_passages.docid: 73593
negative_passages.text: Why is the range of inverse trigonometric functions defined in this way?
negative_passages.docid: 91521
negative_passages.text: Ambiguity of notation: $\sin(x)^2$
negative_passages.docid: 158520
negative_passages.text: Derivative of Fourier transform: $F[f]'=F[-ixf(x)]$
negative_passages.docid: 73445
negative_passages.text: Is Pythagoras the only relation to hold between $\cos$ and $\sin$?
negative_passages.docid: 149447
negative_passages.text: Proving $\sin (x)=\cos (90^\circ-x)$
negative_passages.docid: 120569
negative_passages.text: Trigonometric Functions And Identities Question .
negative_passages.docid: 31387
negative_passages.text: Why is $\sin{x} = x -\frac{x^3}{3!} + \frac{x^5}{5!} - \cdots$ for all $x$?
negative_passages.docid: 152019
negative_passages.text: Derivation of inverse sine, what is wrong with this reasoning?
negative_passages.docid: 39862
negative_passages.text: Why does the derivative of sine only work for radians?
negative_passages.docid: 48408
negative_passages.text: Definite Integral of $\sin(\sin x)$
negative_passages.docid: 40556
negative_passages.text: Why is $\sin(\alpha+\beta)=\sin\alpha\cos\beta+\sin\beta\cos\alpha$
negative_passages.docid: 152853
negative_passages.text: What is the intuition behind the unit normal vector being the derivative of the unit tangent vector?
negative_passages.docid: 91251
negative_passages.text: $n$th derivative of $e^{ax}\sin(bx+c)$
negative_passages.docid: 3387
negative_passages.text: Derivative of $f(x)=|x|$
negative_passages.docid: 48980
negative_passages.text: Geometrical Meaning of derivative of complex function