The value of tan 12 degrees is 0.2125565. . .

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. Tung 12 degrees in radians is written as tung (12° × π/180°), i.e., chảy (π/15) or tan (0.209439. . .). In this article, we will discuss the methods to find the value of tan 12 degrees with examples.

## What is the Value of tan 12 Degrees?

The value of chảy 12 degrees in decimal is 0.212556561. . .. Rã 12 degrees can also be expressed using the equivalent of the given angle (12 degrees) in radians (0.20943 . . .)

We know, using degree khổng lồ radian conversion, θ in radians = θ in degrees × (pi/180°)⇒ 12 degrees = 12° × (π/180°) rad = π/15 or 0.2094 . . .∴ tan 12° = tan(0.2094) = 0.2125565. . .

Explanation:

For tan 12 degrees, the angle 12° lies between 0° and 90° (First Quadrant). Since tangent function is positive in the first quadrant, thus tan 12° value = 0.2125565. . .Since the tangent function is a periodic function, we can represent tung 12° as, tung 12 degrees = tan(12° + n × 180°), n ∈ Z.⇒ rã 12° = chảy 192° = tan 372°, & so on.Note: Since, tangent is an odd function, the value of tan(-12°) = -tan(12°).

## Methods khổng lồ Find Value of chảy 12 Degrees

The tangent function is positive in the 1st quadrant. The value of chảy 12° is given as 0.21255. . .. We can find the value of tan 12 degrees by:

Using Trigonometric FunctionsUsing Unit Circle

## Tan 12° in Terms of Trigonometric Functions

Using trigonometry formulas, we can represent the chảy 12 degrees as:

sin(12°)/cos(12°)± sin 12°/√(1 - sin²(12°))± √(1 - cos²(12°))/cos 12°± 1/√(cosec²(12°) - 1)± √(sec²(12°) - 1)1/cot 12°

Note: Since 12° lies in the 1st Quadrant, the final value of tan 12° will be positive.

We can use trigonometric identities lớn represent tan 12° as,

cot(90° - 12°) = cot 78°-cot(90° + 12°) = -cot 102°-tan (180° - 12°) = -tan 168°

## Tan 12 Degrees Using Unit Circle

To find the value of chảy 12 degrees using the unit circle:

Rotate ‘r’ anticlockwise to form 12° angle with the positive x-axis.The tan of 12 degrees equals the y-coordinate(0.2079) divided by x-coordinate(0.9781) of the point of intersection (0.9781, 0.2079) of unit circle và r.

Hence the value of tan 12° = y/x = 0.2126 (approx).

☛ Also Check:

## FAQs on chảy 12 Degrees

### What is rã 12 Degrees?

Tan 12 degrees is the value of tangent trigonometric function for an angle equal to 12 degrees. The value of tan 12° is 0.2126 (approx).

### How to lớn Find rã 12° in Terms of Other Trigonometric Functions?

Using trigonometry formula, the value of chảy 12° can be given in terms of other trigonometric functions as:

sin(12°)/cos(12°)± sin 12°/√(1 - sin²(12°))± √(1 - cos²(12°))/cos 12°± 1/√(cosec²(12°) - 1)± √(sec²(12°) - 1)1/cot 12°

☛ Also check: trigonometric table

### What is the Value of rã 12° in Terms of Sec 12°?

We can represent the tangent function in terms of the secant function using trig identities, chảy 12° can be written as √(sec²(12°) - 1). Here, the value of sec 12° is equal khổng lồ 1.0223.

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### How to lớn Find the Value of tan 12 Degrees?

The value of chảy 12 degrees can be calculated by constructing an angle of 12° with the x-axis, và then finding the coordinates of the corresponding point (0.9781, 0.2079) on the unit circle. The value of chảy 12° is equal to the y-coordinate(0.2079) divided by the x-coordinate (0.9781). ∴ rã 12° = 0.2126

### What is the Value of tan 12 Degrees in Terms of Cot 12°?

Since the tangent function is the reciprocal of the cotangent function, we can write chảy 12° as 1/cot(12°). The value of cot 12° is equal to lớn 4.70463.