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Jerina
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i got to find the sin and cos of cylinder. in the cylinder system please help me
Jerina said:i got to find the sin and cos of cylinder. in the cylinder system please help me
[/URL]Jerina said:http://faculty.eicc.edu/bwood/ma220supplemental/sup7fig1.gif like that or that http://einstein1.byu.edu/~masong/emsite/S1Q80/vectorgeometry.gif
To convert between the Cartesian and Cylinder coordinate systems, you can use the following formulas:
where r is the distance from the origin to the point, theta is the angle from the x-axis to the point in the xy-plane, and z is the same in both coordinate systems.
The unit circle is a circle with a radius of 1 centered at the origin. In the cylinder system, the unit circle is represented by the circle with a radius of 1 in the xy-plane. The angle theta in the cylinder system is equivalent to the angle in the unit circle, making it a useful tool for understanding and calculating trigonometric functions in the cylinder system.
To calculate the trigonometric functions (sin, cos, tan, cosec, sec, cot) in the cylinder system, you can use the following formulas:
where r is the distance from the origin to the point and theta is the angle from the x-axis to the point in the xy-plane.
The cylinder system is useful for calculating trigonometric functions because it allows for a simpler representation of 3-dimensional space. By converting coordinates to the cylinder system, the problem can be reduced to a 2-dimensional space, making it easier to visualize and calculate trigonometric functions.
The cylinder system is commonly used in engineering, physics, and other fields to represent and analyze 3-dimensional objects and systems. It can be used to calculate forces, angles, and distances in various scenarios, such as calculating the trajectory of a projectile or determining the height of a building.