2017年5月7日 · The vector is the diagonal of a unique rectangle. The horizontal and vertical components of the vector are by definition the horizontal and vertical sides of the rectangle; that's just the statement that moving from the origin to the endpoint along the ray gives the same ending location as moving only horizontally and then only vertically along those sides.

2016年8月28日 · 1) $\cos^2 x + \sin^2 x = 1$ So $2 \cos^2 x = 1$ So $\cos x = \sin x = \pm \sqrt{\frac 12}$ 2) $\sin x$ is the adjacent side of a right triangle.

2014年12月2日 · What is the integral of $\sin(\cos x)$ ? So glad you asked ! :-) Although the indefinite integral does not possess a closed form, its definite counterpart can be expressed in terms of certain special functions, such as Struve H and Bessel J.

2019年7月15日 · According to Wikipedia, one way of defining the sine and cosine functions is as the solutions to the differential equation $y'' = -y$.

2018年10月14日 · How can I know the values of: $\\sin(i)$ and $\\cos(i)$? I am studying complex variables for the first time, so I asked myself if these functions exist (considering that the complex plane can be see...

$\cdots \sin(-\pi), \sin(0), \sin(\pi), \sin(2\pi), \sin(3\pi),\cdots$ Which is exactly where the sine function has its roots, so it is always equal to $0$. For the cosine case, use the identity $\cos(x) = \cos(x + 2\pi) $ (period of the cosine function is $2\pi$) and plug $\cos(0)$ and $\cos(\pi)$ to …

2015年12月1日 · Drawing Sin Cos Tan Table. Step 5(orange):Once you have values for sine function, invert them for cosine i.e( sin 90 = cos 0, sin 60 = cos 30, sin 45 = cos 45 and so on) and you get values for cosine function. Step 6: For tangent, put sin/cos values and simplify. Step 7: You can extend the table for further angles by using formulas such as

$\begingroup$ @onepound: The big right triangle (with "trigonography.com" along its hypotenuse) has a hypotenuse length of $\sin n\theta/\sin\theta$.

$\sin^{4}x+\cos^{4}x$ I should rewrite this expression into a new form to plot the function. \begin{align} &; = (\sin^2x)(\sin^2x) - (\cos^2x)(\cos^2x) \\ &amp ...

2015年9月18日 · A simple way to do the indefinite integral is this $$ \int \underbrace{\sin(nx)}_{\displaystyle u} \Big(\underbrace{\cos(nx)\,dx}_{\dfrac{du} n}\Big) = \frac 1 n \int ...