What does $\arctan x=\arctan\frac x1$ mean ? It means that you have a straight-edge triangle with one ‘leg’ of length x and the other ‘leg’ of length $1$, and your ‘arc’ or angle is the one opposite to the ‘leg’ of length x, whose tangent is obviously $\frac x1=x$.

2017年12月1日 · Arctan addition equation (differential calculus) Ask Question Asked 7 years, 1 month ago. Modified 7 ...

2023年12月26日 · Interestingly enough, there is a relationship between logarithms and the inverse tangent function, but it's a bit complex.

Solve the following equation: $\\arctan x + \\arctan (x^2-1) = \\frac{3\\pi}{4}$. What I did Let $\\arctan x = \\alpha, \\arctan(x^2-1) = \\beta$, $\\qquad\\alpha+ ...

2020年5月20日 · I have this equation $$\arctan(x)+\arctan(2x)=\frac{\pi}{3}$$ that ends up with two roots but when I graph the equation online the graph only intercepts the x-axis once.

2015年1月13日 · I tried to formulate the arctan function in a complex logarithmic form by integrating its derivative by using partial fraction decomposition.

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2022年5月6日 · $\arccos$ and $\arctan$ equation [closed] Ask Question Asked 2 years, 6 months ago.

The differential equation is $$y'=\arctan(x+y)$$$$y(0)=1$$ I tried to resolve it by change of variable $z=x+y$ and I got the following $$\int \frac{dz}{\arctan(z)+1 ...

The differential set $$ (1+y^{2}) \,dx = (1+x^{2})\, dy $$ can be integrated as seen by \begin{align} \int \frac{dy}{1+y^{2}} = \int \frac{dx}{1+x^{2}} \end{align ...