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zaman
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hi
i want to know what is cordinate system and how to find angle b/w two connected lines
i want to know what is cordinate system and how to find angle b/w two connected lines
A coordinate system is a mathematical system used to locate points in space. It consists of a set of axes, usually two or three, that intersect at a point called the origin. The axes are labeled with numbers or letters to represent the distance from the origin.
To find the angle between two lines on a coordinate system, you can use the slope formula to calculate the slopes of each line. Then, you can use the inverse tangent function to find the angle between the lines. Alternatively, you can use the dot product formula to find the angle between two vectors formed by the lines.
Cartesian coordinates, also known as rectangular coordinates, use two axes to locate a point in space. Polar coordinates, on the other hand, use a radius and an angle to locate a point. Polar coordinates are often used in situations where a circular or radial pattern is present, while Cartesian coordinates are used for more general purposes.
To convert from polar to Cartesian coordinates, use the formulas x=rcosθ and y=rsinθ, where r is the radius and θ is the angle in radians. To convert from Cartesian to polar coordinates, use the formulas r=√(x²+y²) and θ=tan⁻¹(y/x).
Yes, a coordinate system can be used in three dimensions. It is called a three-dimensional or 3D coordinate system and consists of three perpendicular axes: x, y, and z. It is often represented as a three-dimensional graph or grid, and points are located using three coordinates: (x, y, z).