Questions tagged [angle]

An object formed by two rays joining at a common point, or a measure of rotation. In the latter form, it is commonly in degrees or radians. Please do not use this tag just because an angle is involved in the question/attempt; use it for questions where the main concern is about angles. This tag can also be used alongside (geometry).

In plane geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in a plane, but this plane does not have to be a Euclidean plane. Angles are also formed by the intersection of two planes in Euclidean and other spaces. These are called dihedral angles. Angles formed by the intersection of two curves in a plane are defined as the angle determined by the tangent rays at the point of intersection. Similar statements hold in space, for example, the spherical angle formed by two great circles on a sphere is the dihedral angle between the planes determined by the great circles.

Angle is also used to designate the measure of an angle or of a rotation. This measure is the ratio of the length of a circular arc to its radius. In the case of a geometric angle, the arc is centered at the vertex and delimited by the sides. In the case of a rotation, the arc is centered at the center of the rotation and delimited by any other point and its image by the rotation.

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Averaging values(they are angles) which are wrapping in o to 360

I have a dataset which are angles and I need to average them to smooth out the noise. Dataset - > [354,357,355,2,352,4,352] -- mean is 253.7143 ,which is wrong Since there is a roll-off (I have 2 and 4 degrees in the dataset), how can I properly…
Saira
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Calculating the missing angle

I have the following problem where I need to find out the missing the angle. I have to apply some triangulation method to solve. I have the values of the hypotenuse. My solution is to break this triangle into its base and perpendicular considering…
Staph
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angle and coordinator calculate from two points forming a line

Two points are given: $A (x_1, y_1)$ and $B (x_2, y_2)$. These points form a line. At point $B$ is the end of the line. I need to calculate the angle that is shown in the figure and also the position of the new point lying on this line that is 5 cm…
Peter
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Is 'turn' a better unit of angular measure?

Radians are generally accepted as natural angular units of measure because they are dimensionless and lead to simple derivatives and series expansions. However, in the modular arithmetic of wavelength, frequency, and other full circular multiples,…
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Angle between vector and x-axis in specific intervals

Given a vector going from a point $(x_0,y_0)$ to $(x_1,y_1)$ in a regular 2D-plane (i.e. an $\hat{x}$-axis pointing right and a $\hat{y}$-axis pointing up), I want to determine the angle between the vector and the $\hat{x}$-axis. When the vector is…
ryekos
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How to compute angle of two points using tangent in a plan?

I have to realize a wrapper for $n$ points given by the user, where $2 \le n \le 10$. Therefore, I have to be able to know the order of covering all the points and generating the figure. So, I want to compute the angle between each two points using…
Kiva
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Overall angle of addition of two sinusoids with different angles

If $$C\cos(\theta) = A\cos(\theta_1) + B\cos(\theta_2),$$ then how to express $\theta$ in terms of $\theta_1$ and $\theta_2$. I started like $$\mathcal{Re}\left\{e^{j\theta}\right\} = \mathcal{Re}\left\{e^{j\theta_1}\right\} +…
user5045
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Combining two angles in a specific way to find a third angle?

You are given an arbitrary angle $h$. It can be any angle from $0^\circ$ to $360^\circ$. You are also given an angle $v$, which is guaranteed to be between $-90^\circ$ and $90^\circ$. Find angle $a$ given these two angles. What is the equation to…
Anixias
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Why square r when duplicating an angle?

I am wondering if this is just a feature of complex numbers or a general geometric/vector requirement. But even if it is that way, cam you give a rationale and explain the logic behind it?
user471905
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Pentagon by trigonometry

Incredibly simple thing that I am having trouble with for the past hour or so. With a pentagon like so http://prntscr.com/hx93vt how do you work out the coordinates of the point c? I just don't understand how you are meant to figure it out not…
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Clock angle problem: there is a detail in the hour angle formula that I don't understand

I'm studying the clock angle problem. It's a simple problem, you can read the description, the analysis and the solution in 3 to 5 minutes here: Clock angle problem - Wikipedia There is a detail that I don't understand, in the hour angle…
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Large initial displacements/angles on a pendulum

Why does large initial displacements/angles on a pendulum affect the period and the accuracy of oscillation? I know at small angles it does not effect the period however large angles (maybe above 30$^o$) do.. Thank you
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Need help to create an equation

I am doing some programming, and I hit a bump. I got a square that I can rotate at will. I got an angle from $0$ to $360$ The square is a fixed size, let's say 3. Now I need to find the position of the 4 corners. This is "relatively" easy to do when…
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Calculating intersecting angles from headings on a -180 to 180 degree plot

I’m trying to program an agent to avoid barriers that it hits. I have access to the heading of the agent as it meets the barrier, which are recorded in positive and negative degrees up to 180 (as shown here, with example headings of agent). I also…
J Dope
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Does the angle between the x axis and a vector have to be counterclockwise?

I was solving problems and found out that the answers were mearsured counterclockwise even if it over pi (180 degrees). Is it available to measure the angle between the vector and the +x vector (1,0) or is it formally defined as counterclockwise? if…
Orangecal
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