# Tan 20 Derajat

Tan 20 Derajat

## Tan 25 Degrees

The value of
tan 25 degrees is 0.4663076. . .. Tan 25 degrees in radians is written equally tan (25° × π/180°), i.e., tan (5π/36) or tan (0.436332. . .). In this commodity, we will discuss the methods to find the value of tan 25 degrees with examples.

• Tan 25° in decimal:
0.4663076. . .
• Tan (-25 degrees):
-0.4663076. . .

tan (5π/36) or tan (0.4363323 . . .)

## What is the Value of Tan 25 Degrees?

The value of tan 25 degrees in decimal is 0.466307658. . .. Tan 25 degrees can besides be expressed using the equivalent of the given angle (25 degrees) in radians (0.43633 . . .)

Nosotros know, using caste to radian conversion, θ in radians = θ in degrees × (pi/180°)
⇒ 25 degrees = 25° × (π/180°) rad = 5π/36 or 0.4363 . . .
∴ tan 25° = tan(0.4363) = 0.4663076. . . Explanation:

For tan 25 degrees, the bending 25° lies between 0° and 90° (First Quadrant). Since tangent part is positive in the first quadrant, thus tan 25° value = 0.4663076. . .
Since the tangent function is a periodic office, we tin can represent tan 25° as, tan 25 degrees = tan(25° + n × 180°), north ∈ Z.
⇒ tan 25° = tan 205° = tan 385°, and so on.
Annotation:
Since, tangent is an odd function, the value of tan(-25°) = -tan(25°).

## Methods to Observe Value of Tan 25 Degrees

The tangent function is positive in the 1st quadrant. The value of tan 25° is given equally 0.46630. . .. We can notice the value of tan 25 degrees by:

• Using Trigonometric Functions
• Using Unit Circle
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## Tan 25° in Terms of Trigonometric Functions

Using trigonometry formulas, nosotros can stand for the tan 25 degrees every bit:

• sin(25°)/cos(25°)
• ± sin 25°/√(1 – sin²(25°))
• ± √(1 – cos²(25°))/cos 25°
• ± 1/√(cosec²(25°) – 1)
• ± √(sec²(25°) – i)
• 1/cot 25°

Notation: Since 25° lies in the 1st Quadrant, the final value of tan 25° will be positive.

Nosotros can use trigonometric identities to represent tan 25° as,

• cot(90° – 25°) = cot 65°
• -cot(90° + 25°) = -cot 115°
• -tan (180° – 25°) = -tan 155°

## Tan 25 Degrees Using Unit Circle To detect the value of tan 25 degrees using the unit circle:

• Rotate ‘r’ anticlockwise to form 25° angle with the positive x-axis.
• The tan of 25 degrees equals the y-coordinate(0.4226) divided by x-coordinate(0.9063) of the point of intersection (0.9063, 0.4226) of unit of measurement circumvolve and r.

Hence the value of tan 25° = y/x = 0.4663 (approx).

☛ Also Check:

• tan 30 degrees
• tan 60 degrees
• tan 75 degrees
• tan 51 degrees
• tan 390 degrees
• tan 405 degrees

## FAQs on Tan 25 Degrees

### What is Tan 25 Degrees?

Tan 25 degrees is the value of tangent trigonometric function for an angle equal to 25 degrees.

The value of tan 25° is 0.4663 (approx).

### How to Find the Value of Tan 25 Degrees?

The value of tan 25 degrees tin be calculated by amalgam an angle of 25° with the x-axis, and so finding the coordinates of the corresponding point (0.9063, 0.4226) on the unit of measurement circumvolve. The value of tan 25° is equal to the y-coordinate(0.4226) divided by the x-coordinate (0.9063). ∴ tan 25° = 0.4663

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### How to Find Tan 25° in Terms of Other Trigonometric Functions?

Using trigonometry formula, the value of tan 25° can be given in terms of other trigonometric functions as:

• sin(25°)/cos(25°)
• ± sin 25°/√(one – sin²(25°))
• ± √(1 – cos²(25°))/cos 25°
• ± one/√(cosec²(25°) – 1)
• ± √(sec²(25°) – i)
• 1/cot 25°

☛ Also cheque: trigonometry table

### What is the Exact Value of tan 25 Degrees?

The
exact value of tan 25 degrees
tin exist given accurately up to 8 decimal places equally 0.46630765.

### What is the Value of Tan 25 Degrees in Terms of Sin 25°?

Using trigonometric identities, we can write tan 25° in terms of sin 25° as, tan(25°) = sin 25°/√(1 – sin²(25°)) . Here, the value of sin 25° is equal to 0.4226.

### Tan 20 Derajat

Source: https://www.cuemath.com/trigonometry/tan-25-degrees/