Advice 1: How to find angle if you know its tangent

The tangent of an angle is a number which is determined by the ratio of opposite and adjacent to this angle of the legs in the triangle. Knowing only this ratio we can find out the size of angle, for example, using a trigonometric inverse tangent the inverse tangent.
How to find angle if you know its tangent
Instruction
1
If you have at hand a table Bradis in paper or electronic form, the angle will be reduced to the search for a value in a table of tangents. It will be mapped to the angle - that is what you want to find.
2
If table not, you will have to calculate the value of the arctangent. You can use this, for example, the standard calculator of Windows operating system. Open the main menu by clicking the start button or pressing WIN, go to "All programs", then to "Standard" and select "Calculator". The same can be done through dialogue run programs - press the key combination WIN + R or select in the main menu the line "Run, type calc and press Enter or click "OK" .
3
Switch the calculator mode, which allows you to calculate trigonometric functions. To do this, open the menu section "View" and select "Engineering" or "Scientific" (depending on the version of the operating system).
4
Enter the known value of the tangent. This can be done with the keyboard or clicking the buttons of the calculator interface.
5
Make sure that the "C" is checked to get the result of the calculation is in degrees, not in radians or gradians.
6
Check the checkbox labeled Inv - that you inverterate the value of the calculated functions marked on the buttons of the calculator.
7
Click the button labeled tg (tangent) and the calculator will compute the value of the function inverse tangent the inverse tangent. It will be the required angle.
8
All this can be done using online calculators and trigonometric functions. To find such services online easily enough through search engines. Yes, and some from search engines (e.g. Google) do have built-in calculators.

Advice 2: How to find the tangent of an angle in a triangle

The tangent of an angle, like other trigonometric functions, expresses the relationship between the sides and angles of a right triangle. The use of trigonometric functions allows us to replace quantities in the degree measurements on the linear parameters.
How to find the tangent of an angle in a triangle
Instruction
1
In the presence of protractor angle triangle can be measured and the table Bradis to find the tangent ratio. If it is not possible to determine the degree measure of an angle, determine its tangent using the measurements of the linear gradient shape. To do this, the support construction from an arbitrary point on one of the sides of the angle, drop a perpendicular on the other side. Measure the distance between the ends of the perpendiculars on the sides of the angle, record the measurement in the numerator of the fraction. Now measure the distance from the vertex of the given angle to the vertex angle, i.e. to the point on the side of the angle, which was lowered perpendicular. The number you write in the denominator. Based on the results of measurements of the fraction is equal to the tangent of an angle.
2
The tangent of the angle can be determined by calculation as the ratio of he opposite over adjacent. You can also calculate the tangent using the direct trigonometric functions of the angle sine and cosine. The tangent of an angle is the ratio of the sine of that angle to its cosine. Unlike continuous functions of sine and cosine, the tangent is discontinuous and not defined at the angle of 90 degrees. If there is a zero angle of its tangent equals zero. From ratios of a right triangle it is obvious that the 45 degree angle has a tangent equal to one, since the legs of this right triangle are equal.
3
For small values of angle from 0 to 90 degrees its tangent is positive, since the sine and cosine in that interval is positive. Limits of change of the tangent in this area - from zero to infinitely high values at angles close to straight. Negative values of the angle of the tangent changes sign. The graph of the function Y=tg(x) in the interval -90°
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