I need an explanation about how graphic artists use trigonometry in their workplace. And what kind of problems they would use trig. to solve. It's for a math project.
i need this within the next hour or so. Pleeeeeeeeease.
i need this within the next hour or so. Pleeeeeeeeease.
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It depends on the person, and what you think graphic artists do...
First, there's the matter of perspective, which is a direct application of trigonometry. Some of this is based on observation, but to make things look right, the angles need to be properly constructed.
Then there's shadow and lighting. Try 3-d rendering - you need to know the camera angle, the light angle, viewing angles and so on. You need to understand how a small change in any of these angles affects the shadows and hence the highlights of the subject being drawn. It isn't just a matter of 'drawing/painting what you see'.
Then there's placement of the subject in the frame - what's the best placement from an artistic viewpoint, from an aesthetic viewpoint, how much of the frame should the subject take up, angles and more angles....
What about distance, the idea of foreground, midground and background ... how much can be seen of any of these?
In other words, although it may be done subconsciously, the artist is constantly using trigonometry to formulate the picture or layout. And, a bit of calculation can add to the effects....
First, there's the matter of perspective, which is a direct application of trigonometry. Some of this is based on observation, but to make things look right, the angles need to be properly constructed.
Then there's shadow and lighting. Try 3-d rendering - you need to know the camera angle, the light angle, viewing angles and so on. You need to understand how a small change in any of these angles affects the shadows and hence the highlights of the subject being drawn. It isn't just a matter of 'drawing/painting what you see'.
Then there's placement of the subject in the frame - what's the best placement from an artistic viewpoint, from an aesthetic viewpoint, how much of the frame should the subject take up, angles and more angles....
What about distance, the idea of foreground, midground and background ... how much can be seen of any of these?
In other words, although it may be done subconsciously, the artist is constantly using trigonometry to formulate the picture or layout. And, a bit of calculation can add to the effects....
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It starts already with calculating the distance between two 3D-points :
d((x1,y1,z1),(x2,y2,z2)) = sqrt((x1-x2)²+(y1-y2)²+(z1-z2)²)
this is based on the Pythagorean theorem
Trigonometry in space has many formula :
- distance point - line
- distance between two lines
- distance between a plane and a point
- distance between a plane and a line
- distance between two planes
- angle between two lines
- angle between two planes
- angle between a line and a plane
The calculations of shadows on a object are in fact simple calculations of the
angle between a line (light rays) and a plane (on the object), how smaller the angle
how darker the object etc...
d((x1,y1,z1),(x2,y2,z2)) = sqrt((x1-x2)²+(y1-y2)²+(z1-z2)²)
this is based on the Pythagorean theorem
Trigonometry in space has many formula :
- distance point - line
- distance between two lines
- distance between a plane and a point
- distance between a plane and a line
- distance between two planes
- angle between two lines
- angle between two planes
- angle between a line and a plane
The calculations of shadows on a object are in fact simple calculations of the
angle between a line (light rays) and a plane (on the object), how smaller the angle
how darker the object etc...