# Tagged Questions

Trigonometric functions (both geometric and circular), relationships between lengths and angles in triangles, and other topics relating to measuring triangles.

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### Derivation/equation for solid angle factor correction

Derivation/equation for solid angle factor correction Summary: I want to determine a correction for the Solid Angle Factor (SAF) due to partially overlapping 'outer' spheres (of different sizes), as ...
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### Standard properties of trigonemetric functions

You have $\sin(\frac{\pi}{6})= \frac{1}{2}$ and $\sin(\frac{5\pi}{6})= \frac{1}{2}$ and the interval [$\frac{\pi}{6},\frac{5\pi}{6}$] has length $\geq 1$ This is used as I'm sure most will be familiar ...
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### Finding the value of a trigonometric equation

Find the numerical value of $$\tan(3\pi/11)+4\sin(2\pi/11)$$ without actually calculating the values. How to start? Please help.
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### Realistic Bounce (Using Trig?)

background: I am making a graphics program where the major purpose of it is to have a ball (traveling on an arbitrary slope) to bounce realistically off of a line (which is also at a arbitrary slope). ...
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### Converting solutions to separation constant to Cosh and Sinh

The Laplace's equation inside a rectangle is: $$u_{\text{xx}}+u_{\text{yy}}\text{=0}$$ The IC's are: $${u(0,y)=g(y)}$$ $${u(L,y)=0}$$ $${u(x,0)=0}$$ $${u(x,H)=0}$$ Via method of separation we have ...
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### Proving that $\sin(nx) = \sum_{j=0}^{[n/2]} (-1)^j {n \choose 2j}(\cos(x))^{n-2j}(\sin(x))^{2j}$ with induction

We have to prove: $$\sin(nx) = \sum_{j=0}^{[n/2]} (-1)^j {n \choose 2j}(\cos(x))^{n-2j}(\sin(x))^{2j} with induction$$ where $[n/2]$ stand for the floor function of $n/2$. I know this formula can ...
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### Is it possible to derive circumference from these two points?

I have two points along one axis, call it y. I don't have the x axis coordinate because the points were taken as 1-D measurements. The angle between the points is known. Is it possible to derive a ...
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### Confused about integration over zeroes.

Does for example $\int_{-\pi}^{\pi} \sin(x) \, dx$ cancel out to zero (following WolframAlpha/normal integration technique), or do we have to take the absolute value of all the areas between bounds ...
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### Can you always cover a circle in a finite number of steps with this “radar” algorithm?

Suppose you have a disc $C$ of radius $V$ with center $c$ and you randomly place a point $p$ in it. $p$ Behaves as follows: at every time-step, $p$ calculates its angle to $c$, and moves a distance of ...
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### Converting Pixel displacement to radians or mm

How do i convert a pixel displacement to a displacement in radians, or mm.. I need the formula to convert to a program, for which i know the displacement in pixels, but need it in radians.
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