Cotan 240

Cot 240 Degrees

The value of
cot 240 degrees is 0.5773502. . .. Cot 240 degrees in radians is written as cot (240° × π/180°), i.east., cot (4π/iii) or cot (four.188790. . .). In this article, nosotros volition hash out the methods to discover the value of cot 240 degrees with examples.

• Cot 240°:
  1/√3
• Cot 240° in decimal:
  0.5773502. . .
• Cot (-240 degrees):
  -0.5773502. . . or -(1/√3)
• Cot 240° in radians:
  
  cot (4π/3) or cot (4.1887902 . . .)

What is the Value of Cot 240 Degrees?

The value of cot 240 degrees in decimal is 0.577350269. . .. Cot 240 degrees can also be expressed using the equivalent of the given angle (240 degrees) in radians (4.18879 . . .)

We know, using caste to radian conversion, θ in radians = θ in degrees × (pi/180°)
⇒ 240 degrees = 240° × (π/180°) rad = 4π/3 or 4.1887 . . .
∴ cot 240° = cot(4.1887) = 1/√iii or 0.5773502. . .

Explanation:

For cot 240 degrees, the angle 240° lies between 180° and 270° (Third Quadrant). Since cotangent part is positive in the third quadrant, thus cot 240° value = ane/√iii or 0.5773502. . .
Since the cotangent function is a periodic function, we tin correspond cot 240° as, cot 240 degrees = cot(240° + northward × 180°), n ∈ Z.
⇒ cot 240° = cot 420° = cot 600°, and so on.
Annotation:
Since, cotangent is an odd function, the value of cot(-240°) = -cot(240°).

Methods to Discover Value of Cot 240 Degrees

The cotangent role is positive in the 3rd quadrant. The value of cot 240° is given equally 0.57735. . . We tin can find the value of cot 240 degrees by:

• Using Trigonometric Functions
• Using Unit Circumvolve

Cot 240° in Terms of Trigonometric Functions

Using trigonometry formulas, nosotros can correspond the cot 240 degrees as:

• cos(240°)/sin(240°)
• ± cos 240°/√(1 – cos²(240°))
• ± √(1 – sin²(240°))/sin 240°
• ± one/√(sec²(240°) – 1)
• ± √(cosec²(240°) – 1)
• ane/tan 240°

Note: Since 240° lies in the tertiary Quadrant, the final value of cot 240° will be positive.

Nosotros can use trigonometric identities to represent cot 240° equally,

• tan (xc° – 240°) = tan(-150°)
• -tan (90° + 240°) = -tan 330°
• -cot (180° – 240°) = -cot(-lx°)

Cot 240 Degrees Using Unit Circle

To find the value of cot 240 degrees using the unit circle:

• Rotate ‘r’ anticlockwise to class 240° bending with the positive x-axis.
• The cot of 240 degrees equals the x-coordinate(-0.5) divided past y-coordinate(-0.866) of the bespeak of intersection (-0.5, -0.866) of unit circumvolve and r.

Hence the value of cot 240° = x/y = 0.5774 (approx).

☛ Also Check:

• cot 35 degrees
• cot 315 degrees
• cot ten degrees
• cot 12 degrees
• cot 116 degrees
• cot 9 degrees

FAQs on Cot 240 Degrees

What is Cot 240 Degrees?

Cot 240 degrees is the value of cotangent trigonometric office for an angle equal to 240 degrees.


The value of cot 240° is 1/√3 or 0.5774 (approx).

What is the Value of Cot 240° in Terms of Sec 240°?

We tin can stand for the cotangent office in terms of the secant function using trig identities, cot 240° tin exist written equally ane/√(sec²(240°) – 1). Here, the value of sec 240° is equal to -2.

How to Find Cot 240° in Terms of Other Trigonometric Functions?

Using trigonometry formula, the value of cot 240° tin can be given in terms of other trigonometric functions every bit:

• cos(240°)/sin(240°)
• ± cos 240°/√(1 – cos²(240°))
• ± √(1 – sin²(240°))/sin 240°
• ± 1/√(sec²(240°) – 1)
• ± √(cosec²(240°) – i)
• 1/tan 240°

☛ Also bank check: trigonometric table

What is the Value of Cot 240 Degrees in Terms of Cos 240°?

We know, using trig identities, we can write cot 240° as -cos 240°/√(1 – cos²(240°)). Hither, the value of cos 240° is equal to -0.five.

How to Find the Value of Cot 240 Degrees?

The value of cot 240 degrees can exist calculated past constructing an angle of 240° with the 10-centrality, and then finding the coordinates of the corresponding point (-0.5, -0.866) on the unit circumvolve. The value of cot 240° is equal to the x-coordinate(-0.5) divided by the y-coordinate (-0.866). ∴ cot 240° = 0.5774