May 22, 2021 · Here is a trick I use to remember the derivatives and antiderivatives of trigonometric functions. If you know that \begin {align} \sin' (x) &= \cos (x) \\ \sec' (x ...

Oct 7, 2020 · Since all the trig functions have formulas in terms of the sine function, the product rule and the chain rule guarantee that if the derivative of the sine function stays in Trig World …

Mar 6, 2021 · I remember the derivatives of trig functions by naming 3x basic right triangles in a specific way and using ONE simple multiplication. Just wondering if there are similar …

May 26, 2015 · I was inspired by this question to try and come up with geometric proofs for the derivatives of basic trig functions--basically, those that have simple representations on the unit …

Jun 26, 2015 · The sine and cosine functions are now defined as the real and imaginary parts of the exponential function with an imaginary argument: $$\exp (ix) =: \cos (x) + i \sin (x).$$ Note …

Feb 12, 2013 · Finding derivatives of Trigonometric Functions Ask Question Asked 12 years, 10 months ago Modified 12 years, 9 months ago

Apr 12, 2015 · It seems to be that when you go from trig to hyperbolic and consider the derivatives, the derivatives always use the same function (although in hyperbolic terms rather …

Jul 17, 2020 · I know how to use geometry to find the derivatives of $\sin x$ and $\cos x$ like this: We can use the fact that we know the tangent of the circle to show that $\frac {d} {dx}\cos …

Feb 15, 2012 · Perhaps it is one of the derivatives that you just remember: the answer is $-\csc^2 x$. Or if you don't remember this derivative, use the fact that $$\cot x=\frac {\cos x} {\sin x}$$ …

Mar 22, 2014 · I think this is just something I've grown used to but can't remember any proof. When differentiating and integrating with trigonometric functions, we require angles to be taken …