Cot 239 Degrees

The value of cot 239 degrees is 0.6008606. . .. Cot 239 degrees in radians is written as cot (239° × π/180°), i.e., cot (4.171336. . .). In this article, we will discuss the methods to find the value of cot 239 degrees with examples.

• Cot 239° in decimal: 0.6008606. . .
• Cot (-239 degrees): -0.6008606. . .
• Cot 239° in radians: cot (4.1713369 . . .)

What is the Value of Cot 239 Degrees?

The value of cot 239 degrees in decimal is 0.600860619. . .. Cot 239 degrees can also be expressed using the equivalent of the given angle (239 degrees) in radians (4.17133 . . .)

We know, using degree to radian conversion, θ in radians = θ in degrees × (pi/180°)
⇒ 239 degrees = 239° × (π/180°) rad = 4.1713 . . .
∴ cot 239° = cot(4.1713) = 0.6008606. . .

Explanation:

For cot 239 degrees, the angle 239° lies between 180° and 270° (Third Quadrant). Since cotangent function is positive in the third quadrant, thus cot 239° value = 0.6008606. . .
Since the cotangent function is a periodic function, we can represent cot 239° as, cot 239 degrees = cot(239° + n × 180°), n ∈ Z.
⇒ cot 239° = cot 419° = cot 599°, and so on.
Note: Since, cotangent is an odd function, the value of cot(-239°) = -cot(239°).

Methods to Find Value of Cot 239 Degrees

The cotangent function is positive in the 3rd quadrant. The value of cot 239° is given as 0.60086. . . We can find the value of cot 239 degrees by:

• Using Unit Circle
• Using Trigonometric Functions

Cot 239 Degrees Using Unit Circle

To find the value of cot 239 degrees using the unit circle:

• Rotate ‘r’ anticlockwise to form 239° angle with the positive x-axis.
• The cot of 239 degrees equals the x-coordinate(-0.515) divided by y-coordinate(-0.8572) of the point of intersection (-0.515, -0.8572) of unit circle and r.

Hence the value of cot 239° = x/y = 0.6009 (approx).

Cot 239° in Terms of Trigonometric Functions

Using trigonometry formulas, we can represent the cot 239 degrees as:

• cos(239°)/sin(239°)
• ± cos 239°/√(1 - cos²(239°))
• ± √(1 - sin²(239°))/sin 239°
• ± 1/√(sec²(239°) - 1)
• ± √(cosec²(239°) - 1)
• 1/tan 239°

Note: Since 239° lies in the 3rd Quadrant, the final value of cot 239° will be positive.

We can use trigonometric identities to represent cot 239° as,

• tan (90° - 239°) = tan(-149°)
• -tan (90° + 239°) = -tan 329°
• -cot (180° - 239°) = -cot(-59°)

☛ Also Check:

• cot 450 degrees
• cot 180 degrees
• cot 10 degrees
• cot 40 degrees
• cot 1 degrees
• cot 4 degrees

FAQs on Cot 239 Degrees

What is Cot 239 Degrees?

Cot 239 degrees is the value of cotangent trigonometric function for an angle equal to 239 degrees. The value of cot 239° is 0.6009 (approx).

How to Find Cot 239° in Terms of Other Trigonometric Functions?

Using trigonometry formula, the value of cot 239° can be given in terms of other trigonometric functions as:

• cos(239°)/sin(239°)
• ± cos 239°/√(1 - cos²(239°))
• ± √(1 - sin²(239°))/sin 239°
• ± 1/√(sec²(239°) - 1)
• ± √(cosec²(239°) - 1)
• 1/tan 239°

☛ Also check: trigonometry table

What is the Exact Value of Cot 239 Degrees?

The exact value of cot 239 degrees can be given accurately up to 8 decimal places as 0.60086061.

What is the Value of Cot 239 Degrees in Terms of Sin 239°?

Using trigonometric identities, we can write cot 239° in terms of sin 239° as, cot(239°) = -√(1 - sin²(239°))/sin 239° . Here, the value of sin 239° is equal to -0.8572.

How to Find the Value of Cot 239 Degrees?

The value of cot 239 degrees can be calculated by constructing an angle of 239° with the x-axis, and then finding the coordinates of the corresponding point (-0.515, -0.8572) on the unit circle. The value of cot 239° is equal to the x-coordinate(-0.515) divided by the y-coordinate (-0.8572). ∴ cot 239° = 0.6009