How to find tangent angle

How to find tangent angle

Trigonometry is the topic that many bypass. Despite this, if you find the right approach to it, it will become very interesting for you. Trigonometric formulas, including formulas for finding tangents, are used in many areas of real life. This article will tell about how to find the tangent of the angle and will result in examples of the use of this value in life. This will give you a motivation on the way of studying this topic.

Despite the opinion that there is among the majority of schoolchildren, the trigonometry is often used in life. A clear example of practical application will give you an incentive not to be lazy. Here are several areas of activity where trigonometric calculations are used, including the finding of the corner tangent:

  • Economy.
  • Astronomy.
  • Aviation.
  • Engineering.

So, there will be ways to find TG.



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How to find TG angle

Finding the tangent of the angle is quite simple. You can explore this topic and just to drive the rules, but all this can fly out of the head on the exam. Therefore, it is worth it to this question meaningfully. Main formulas for memorization:

  • tG0 ° \u003d 0
  • tG30 ° \u003d 1 / √3
  • tG45 ° \u003d 1
  • tG60 ° \u003d √3
  • tG90 ° \u003d ∞ (infinity / vague)

Please note that the values \u200b\u200bgo ascending: the greater the angle - the greater the value of Tangent. Accordingly, with a degree value of an angle of 0 °, we will receive 0. When the value of thirty degrees is the unit divided into the root of three, etc., until we reach a mark of 90 °. Under it, the magnitude of the tangent is equal to infinity or uncertainty (based on the specific situation).

These expressions arise from the rule of the tangent through the rectangular triangle. Thus, the Tangent Angle A (TGA) is equal to the ratio of the opposite catech to the adjacent one. Imagine that a rectangular triangle is given, in which all parties are known, but are not known to the corner. By decision of the problem, it is required to find the Tangent Angle A. The value of the side that lies opposite the angle - 1, and the adjacent category is √3. Their ratio gives 1 / √3. We already know that the magnitude of the angle at this indicator is 30 degrees. Accordingly, angle a \u003d 30 °.

In a rectangular triangle at the rectangular corner, both tangents are adjacent. The opposite side of this angle - hypotenuse. It is precisely because we cannot split two categories on each other (a condition for finding), Tangent 90 ° in this case does not exist.

In addition to all this, it is often necessary to find a tangent of a stupid angle. Typically, there are stupid angles with a value of 120 or 150 degrees in tasks. The formula for finding a dull angle tangent looks like this: TG (180-a) \u003d TGA.
For examples, we need to find a 120 ° tangent. You need to ask yourself the following question: how much should you take away from 180 to get 120? Definitely 60 °. It follows that the Tangent 120 ° and Tangent 60 ° is equal to each other and TG120 ° \u003d √3. By the same logic you can find a tangent at 150 and 180 degrees. Their values \u200b\u200bwill be respectively equal to 1 / √3 and 0. The values \u200b\u200bof tangents of other angles are given in the trigonometric table, but they are extremely rare.



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How to find a TG angle online

There are many online resources for finding a tangent angle. One of these is the site Fxyz.. Follow this link. You will find a page where the basic formulas associated with Tangent will be given, as well as a calculator. Use the calculator is simple enough. You must enter the appropriate and calculator will calculate the answer. This simple algorithm will help you in case you have forgotten something. There are two calculators on this site. One - to find the magnitude of the Tangent based on the lengths of the triangle cathets, and the second on the basis of the value of the angle. Use the calculator that requires the task.

As you could notice, finding tangent and other trigonometric indicators is very often used in real life, and finding these values \u200b\u200bare completely simple. If you understand the essence of finding, you do not have to go off - you will be able to reach the right answer. If still something does not work, use the calculator, but do not abuse. Nobody will provide such an opportunity on the exam, standings or school control work. Moreover, if you do at the faculty, where the trigonometry of higher mathematics is being studied, without basic knowledge you will have to be seriously sweat to not cut off.

 


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