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What is the study of the meaurement of triangles and of trigonometric functions and their applications?
Wiki User
∙ 10y ago
It is trigonometry.
Wiki User
∙ 10y ago
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What is the other name of trigonometric function?
Trigonometric functions are often referred to as circular functions. This is because these functions are closely related to the geometry of circles and triangles. The six primary trigonometric functions are sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot). They describe the ratios between the sides of a right triangle in relation to its angles. Trigonometric functions have numerous applications in mathematics, physics, engineering, and various other fields. My recommendation : んｲｲｱ丂://WWW.りﾉムﾉ丂ｲの尺乇24.ᄃのﾶ/尺乇りﾉ尺/372576/りの刀ム丂ズﾘ07/
Why do similar triangles have the same trigonometric ratios?
Trigonometric ratios are characteristics of angles, not of lengths. And, by definition, the corresponding angles an similar triangles have the same measures.
What is the Contribution of hipparchus to trigonometry?
Created the division of a circle into 360 degrees and made one of the first trigonometric tables for solving triangles.
What are the scopes of trigonometry?
Trigonometry (from Greek trigōnon "triangle" + metron "measure") is a branch of mathematics that studies triangles, particularly right triangles. Trigonometry deals with relationships between the sides and the angles of triangles, and with trigonometric functions, which describe those relationships and angles in general, and the motion of waves such as sound and light waves. There are an enormous number of uses of trigonometry and trigonometric functions. For instance, the technique of triangulation is used in astronomy to measure the distance to nearby stars, in geography to measure distances between landmarks, and in satellite navigation systems. The sine and cosine functions are fundamental to the theory of periodic functions such as those that describe sound and light waves. Fields that use trigonometry or trigonometric functions include astronomy (especially for locating apparent positions of celestial objects, in which spherical trigonometry is essential) and hence navigation (on the oceans, in aircraft, and in space), music theory, acoustics, optics, analysis of financial markets, electronics, probability theory, statistics, biology, medical imaging (CAT scans and ultrasound), pharmacy, chemistry, number theory (and hence cryptology), seismology, meteorology, oceanography, many physical sciences, land surveying and geodesy, architecture, phonetics, economics, electrical engineering, mechanical engineering, civil engineering, computer graphics, cartography, crystallography and game development.
How do you use trigonometry?
Various trigonometric functions, such as sine or cosine, show the relationship between the lengths of sides of a triangle and the angles between those sides. So trigonometry is used to calculate angles, lengths and distances using right triangles. Right triangles are those that have one angle of exactly 90 degrees. Example: You want to find the height of a tree. Measure off a fixed distance from the tree and measure the angle between the ground and the line-of-sight to the top of the tree. The height of the tree = the distance to the tree times the tangent of the angle between the tree and the ground, ie tan(x).
What is the function of trigonometry?
Trigonometry is the study of the relationships between the sides and the angles of triangles and with the trigonometric functions, which describe those relationships.
What is the other name of trigonometric function?
Trigonometric functions are often referred to as circular functions. This is because these functions are closely related to the geometry of circles and triangles. The six primary trigonometric functions are sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot). They describe the ratios between the sides of a right triangle in relation to its angles. Trigonometric functions have numerous applications in mathematics, physics, engineering, and various other fields. My recommendation : んｲｲｱ丂://WWW.りﾉムﾉ丂ｲの尺乇24.ᄃのﾶ/尺乇りﾉ尺/372576/りの刀ム丂ズﾘ07/
Why do similar triangles have the same trigonometric ratios?
Trigonometric ratios are characteristics of angles, not of lengths. And, by definition, the corresponding angles an similar triangles have the same measures.
How did the Greeks consider trigonometry?
Trigonometry (from Greek trigōnon "triangle" + metron "measure") is a branch of mathematics that studies triangles, particularly right triangles. Trigonometry deals with relationships between the sides and the angles of triangles, and with trigonometric functions, which describe those relationships and angles in general, and the motion of waves such as sound and light waves. There are an enormous number of uses of trigonometry and trigonometric functions. For instance, the technique of triangulation is used in astronomy to measure the distance to nearby stars, in geography to measure distances between landmarks, and in satellite navigation systems. The sine and cosine functions are fundamental to the theory of periodic functions such as those that describe sound and light waves.
How calculate angle in isosceles triangle?
use protractor, or divide isosceles triangle into two right triangles, and use trigonometric functions to find the angles individually (ONLY IF YOU HAVE ALL SIDE LENGTHS CAN YOU DO THIS)
How do you find areas of triangles with one side being 12 and another 10?
I find the easiest way is to split the triangle into to right angles. This will only work if you know the length of the base or if you can find another part of your two new triangles using trigonometric or Pythagoras functions.
How do you find the length of a side opposite an angle?
You have not described this problem in sufficient detail. If you are talking about triangles, then in some situations trigonometric functions are applicable. Or, you could just measure the side with your ruler, although if that is what you are going to do, then the fact that it is oppoiste an angle is irrelevant.
How do you solve special right triangles?
The answer depends on what solving is required: do you need to find the area, perimeter, angles, trigonometric rations?
When would you use the law of sines or law of cosines instead of a trigonometric ratio?
Trigonometric ratios, by themselves, can only be used for right angled triangles. The law of cosines or the sine law can be used for any triangle.
What are the applications of triangles in daily life?
Gradients of hills
What is the Contribution of hipparchus to trigonometry?
Created the division of a circle into 360 degrees and made one of the first trigonometric tables for solving triangles.
What is trigonometry all about?
The word, trigonometry" is derived from trigon = triangle + metry = measurement. It is based on the study of angles of a triangle and their properties. Although trigonometric ratios are often introduced to students in the context of triangles, their properties for all angles.For example, trigonometric functions are well defined for angles with negative values as well as for more than 180 degrees even though no triangle can possibly have angles with such measures.
