# Cotan 240

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 (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°).

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## 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.

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### 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

## Cotan 240

Source: https://www.cuemath.com/trigonometry/cot-240-degrees/

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