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 25° in radians:
  
  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

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

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.