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A circle's tangent is exactly the same as a triangle's tangent. If you look at a circle, you can make the radius the hypotenuse. Then make a vertical line from the point, and a horizontal line from the center. If you look, you have a triangle made inside the circle. This is why angles can be measured in radians, a unit that is derived from the circumference of a circle.
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By doing a little calculus, we find that the slope of the equation of a circle-the slope of the tangent line-is given by the tangent of an angle.
AnswerEverything written above is correct, but doesn't have anything to do with tangents (in the circle sense of the word).Suppose you're given an angle theta. Draw a circle together with two radii, one horizontal and the other at an angle theta from the first one. (So far, this is the same as above.) Now draw the tangent to the circle at X, the point where the non-horizontal radius meets the circumference. Let Y be the point where this tangent meets the horizontal line through the centre. Then, assuming the radius is 1, tan(theta) is the distance XY, which is the length of part of the tangent.
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The definition of external tanget?
An external tangent is a line that is tangent to both circles but does not pass between them.
What is the Differential equation of circles tangent to x-axis?
[1+(y')2]3 = [yy"+1+(y')2]2
How do you find x assume that segments that appear tangent are tangent?
A tangent refers to the way in which a curve is measured. The amount of deviation from the segment line is measures, then a formula applied to find the tangent.
What does circumference divided by radius equal?
The circumference of a circle divided by its radius equals 2π. This is a fundamental constant in mathematics known as tau (τ), which is approximately 6.283. The ratio of the circumference to the radius is consistent for all circles, making it a key relationship in geometry and trigonometry. This relationship is crucial for calculating various properties of circles and circular motion.
How tall is the tree if it casts a shadow 30 feet long when the angle of the sun is 32 degrees?
If the angle of elevation is 32 degrees then using the tangent ratio in trigonometry the height of the tree is 18.75 feet rounded up to two decimal places
Is tangent in geometry and tangent in trigonometry same?
Yes a tangent is a straight line thattouches a curve at only one point But there is a tangent ratio used in trigonometry
Additional Topics (10%)?
Key topics:Geometry (area, volume, angles, circles, triangles).Trigonometry (sine, cosine, and tangent).Complex numbers.
What is tangent in trigonometry?
Tangent is the ratio between perpendicular to the base of the triangle.
Are tangent circles two circles that are tangent to the same line at the same point?
Yes.
What are tangent circles?
Tangent circles are circles that touch one another without crossing. The distance between the centres of the circles must be equal to the difference or the sum of their radii.
Do tangent circles have the same center?
No, tangent circles do not have the same center. They just touch at the side. Here is an example:
Can two circles be tangent at the same point?
If the two circles are tangent to each other,then it must be at the same point.
The laws of sine cosine and tangent are used where?
in trigonometry
What jobs use sine cosine and tangent?
Trigonometry
What are functions in trigonometry?
The basic functions of trigonometry are: sine cosine tangent secant cosecant cotangent
Can a tangent circle be concentric?
No; tangent circles touch each other at one point but concentric circles cannot not touch.
Are circles tangent when they meet at a single point?
Yes, circles that share one and only one point are tangent to each other.
