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What is a binormal?
A binormal is a line which is at right angles to both the normal and the tangent of a point on a curve, and, together with them, forms three cartesian axes.
What is the shortest distance between a straight line and a curve?
If you translate (move without rotation) a copy of the line towards the curve, the first point where the line touches the curve (the tangent to the curve with the slope of the original line) will be the point on the curve closest to the line. Draw a connecting line from this tangent point to the original line, intersecting that original line at right angles. Measure the connecting segment. It is the shortest distance. Vector analysis will give a mathematically strict solution, I do not have the ability to explain this in sufficient detail.
What is the equation for finding the sine and cosine and tangent of a triangle?
For finding the angles in a right angled triangle the ratios are: sine = opposite divided by the hypotenuse cosine = adjacent divided by the hypotenuse tangent = opposite divided by the adjacent
What is the formula in getting a tangent?
For a right angle triangle: tangent = opposite/adjacent
Do you need a right traingle to use sine cosine and tangent?
Yes, sine, cosine, tangent definitions are based on right triangles
Which equation describes the tangent function for a right triangle?
tan (0) = opposite/adjacent
What is a binormal?
A binormal is a line which is at right angles to both the normal and the tangent of a point on a curve, and, together with them, forms three cartesian axes.
What is negaitve slope?
You're familiar with the xy-plane. A line with negative slope is one that goes down toward the right. A curve has a negative slope at a point if the tangent line to the curve at that point has a negative slope.
What point does the normal intersect?
The normal intersects a curve at a right angle, forming a perpendicular line to the tangent of the curve at that point. This intersection is crucial for determining the rate of change or slope of a function at a specific point.
What is the shortest distance between a straight line and a curve?
If you translate (move without rotation) a copy of the line towards the curve, the first point where the line touches the curve (the tangent to the curve with the slope of the original line) will be the point on the curve closest to the line. Draw a connecting line from this tangent point to the original line, intersecting that original line at right angles. Measure the connecting segment. It is the shortest distance. Vector analysis will give a mathematically strict solution, I do not have the ability to explain this in sufficient detail.
What is the equation for finding the sine and cosine and tangent of a triangle?
For finding the angles in a right angled triangle the ratios are: sine = opposite divided by the hypotenuse cosine = adjacent divided by the hypotenuse tangent = opposite divided by the adjacent
What is the definition of the tangent ratio for a right triangle?
The tangent ratio for a right angle triangle is opposite/adjacent.
What is the formula in getting a tangent?
For a right angle triangle: tangent = opposite/adjacent
What is the tangent side of triangle?
There can be no tangent side. The tangent of an angle, in a right angled triangle, is a ratio of the lengths of two sides.
Do you need a right traingle to use sine cosine and tangent?
Yes, sine, cosine, tangent definitions are based on right triangles
What is the radius equation inside the circle x squared plus y squared -8x plus 4y equals 30 that meets the tangent line y equals x plus 4 on the Cartesian plane showing work?
Circle equation: x^2 +y^2 -8x +4y = 30 Tangent line equation: y = x+4 Centre of circle: (4, -2) Slope of radius: -1 Radius equation: y--2 = -1(x-4) => y = -x+2 Note that this proves that tangent of a circle is always at right angles to its radius
What is the Radius tangent theorem?
The tangent of a circle always meets the radius of a circle at right angles.
