Tangent Calculator

what is Tangent?

Tangent is one of the three trigonometric features and is abbreviated as “tan”. In a right triangle, the tangent of an attitude can be defined as the ratio between the period of the other aspect to the duration of the adjacent facet. Our tan calculator uses the given tangent formulation to locate the tangent (x) cost.

Tangent system:

• Tan system is: tan(α) = opposite a / adjacent b
• The tangent of attitude α may be represented in diploma, radian, m radian, or pi radian.

Furthermore, the tangent of perspective may be defined as sine divided with the aid of cosine. So the tangent formula of tan characteristic is described through

\[tanx=\frac{(sinx)}{(cosx)}\]

where sin(x) is the sine feature and cos(x) is the cosine characteristic.

furthermore, the net loose Cosine Calculator allows to calculate the cosine fee of the given angle in levels, radians, mili-radians, and π radians.

law of Tangents:

The law of tangent depicts the relationship between tangents of two angles and contrary side lengths. Then, a proper-angled triangle ABC in which aspects opposite to ∠A,∠B, and ∠C are a, b, and c. So, in step with the regulation of tangents, we've got the subsequent relation:

$$\frac{a-b}{a+b} = \frac{tan(\frac{1}{2}(a-b))}{tan(\frac{1}{2}(a+b))}$$

but, the free Arctan Calculator lets in you to resolve the inverse tangent characteristic in radians, tiers, and exceptional units.

A way to discover Tangent of an attitude?

From the above formulation we already know that to locate the tangent of an perspective we can divide the duration of the opposite by using the duration of an adjoining facet. So just placed the values in the formulation underneath to locate the tangent fee of an angel:

\[tan(α) = \frac{a}{b}\]

Example:

How to calculate the tangent value of an angle when the length of the opposite side of the angle is equal to 12 and the adjacent side is equal to 9?

Apply the tan equation and put the values:

\[ \tan(\alpha) = \frac{a}{b} \]

\[ = \frac{12}{9} = \frac{4}{3} \approx 1.33. \]

The way to calculate the tangent fee of an angel when the period of the other aspect of the angle is same to 14 and the adjacent side is identical to 7?

Tangent Graph:

• On graph Tangent feature for one of a kind angles shape a couple of curves.
• Curves will begin from decrease values and moves in the direction of the better values.
• they'll never contact the angles at 90° or 270°.
• A tangent graph will always pass among poor and superb Infinity.

however, in case you need to calculate the tangent value of an angel this is missing in the table then use a tangent calculator. additionally, an internet Sine Calculator will determine the sine trigonometric values for the given attitude in diploma, radian, or the π radians.

How Tangent Calculator Works?

A tan calculator will make the maximum particular calculations, comply with these steps to find out your tangent values:

Input:

• Enter the perspective for which you need to tangent value.
• Now pick out radian, diploma, m radian, or π radian from the drop-down menu.
• Hit the calculate button.

Output:

This calculator will display the results according to the tangent formula:

• It's going to display the tangent fee for a given perspective in levels or radians (pi or m radian).
• Limitless calculations may be made through clicking the recalculate button.

FAQs:

Does Tan identical Y X?

in step with the definition of unit circle tan(theta) is equals to=frac{x}{y} or tan(theta)=sin(theta)/cos(theta). The tangent characteristic might be negative on every occasion when sine or cosine, are negative. however, Tangent is likewise equivalent to the slope of the terminal side.

what's Tangent in Calculus?

In calculus, a tangent can be defined as the line of the slope of the curve at any particular point. it's miles the road in an effort to touch the curve at a specific point that has the identical route because the curve.