What is the Laplace transform of $\\sin^2(t)$?
2016年8月19日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
How to find the Laplace transform of $\\sin^2 (2t)$?
2014年12月10日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
How is $\\cos^2t + \\sin^2t = 1$? - Mathematics Stack Exchange
and then jump to saying that since $\cos^2t + \sin^2t = 1$, $$\frac{x - x_0}a = \cos t\text{ and }\frac{y ...
How to find the Laplace Transform of $\\sin(2t) u(t-\\pi)$
2015年11月30日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Laplace transformation of $ \frac{\sin^2{t}}{t^2} $? - Mathematics ...
Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
calculus - Laplace transform of $f(t)=te^{-t}\sin(2t)$ - Mathematics ...
2014年12月21日 · I was asked to find the Laplace transform of the function $\\displaystyle f(t)=te^{-t}\\sin(2t)$ using only the properties of Laplace transform, meaning, use clever tricks and the table shown at http...
integration - How to solve this trigonometric integral $\int \sin^2t ...
2015年2月28日 · $$\int \sin^2t\cos^2t\,dt$$ Since both exponent are pair and $\ge 2$, according to my understanding I should use one of these equality to solve : $\sin^2t = \dfrac{1-\cos2t}{2}$ $\cos^2t = \dfrac{1+\cos2t}{2}$ $\sin t\cos t = \dfrac{\sin2t}{2}$ I've tried replacing with each of these tree, but I am unable to solve.
trigonometry - Simplifying $2\cos(t)\cos(2t)-\sin(t)\sin(2t ...
2015年11月29日 · Proof: $$2\cos(t)\cos(2t)-\sin(t)\sin(2t)=\frac{\cos(t)+3\cos(3t)}{2}\Longleftrightarrow$$ $$2\left(2\cos(t)\cos(2t)-\sin(t)\sin(2t)\right)=\cos(t)+3\cos(3t ...
Find the cartesian equation of: $y = \\sin (2t)$ and $x = \\cos (t)$
$\eqalign{ & y = \sin (2t) \cr & x = \cos (t) \cr} $ therefore: $\eqalign{ & \sin (t) = {y \over {2\cos t}} \cr as: & \cos (t) = x \cr & {\rm{ sin(t) = }}{y ...
periodic functions - Why is the fundamental period of $\sin^3(2t ...
2019年3月7日 · Take a look at the following function: $$ x(t) = \\sin^3(2t) $$ In order to show the periodicity of the signal, we need to prove the following equality $$ x(t) = x(t+T) $$ We first use some trigonom...