Cot 37 Degrees

The value of cot 37 degrees is 1.3270448. . .. Cot 37 degrees in radians is written as cot (37° × π/180°), i.e., cot (0.645771. . .). In this article, we will discuss the methods to find the value of cot 37 degrees with examples.

• Cot 37° in decimal: 1.3270448. . .
• Cot (-37 degrees): -1.3270448. . .
• Cot 37° in radians: cot (0.6457718 . . .)

What is the Value of Cot 37 Degrees?

The value of cot 37 degrees in decimal is 1.327044821. . .. Cot 37 degrees can also be expressed using the equivalent of the given angle (37 degrees) in radians (0.64577 . . .)

We know, using degree to radian conversion, θ in radians = θ in degrees × (pi/180°)
⇒ 37 degrees = 37° × (π/180°) rad = 0.6457 . . .
∴ cot 37° = cot(0.6457) = 1.3270448. . .

Explanation:

For cot 37 degrees, the angle 37° lies between 0° and 90° (First Quadrant). Since cotangent function is positive in the first quadrant, thus cot 37° value = 1.3270448. . .
Since the cotangent function is a periodic function, we can represent cot 37° as, cot 37 degrees = cot(37° + n × 180°), n ∈ Z.
⇒ cot 37° = cot 217° = cot 397°, and so on.
Note: Since, cotangent is an odd function, the value of cot(-37°) = -cot(37°).

Methods to Find Value of Cot 37 Degrees

The cotangent function is positive in the 1st quadrant. The value of cot 37° is given as 1.32704. . . We can find the value of cot 37 degrees by:

• Using Trigonometric Functions
• Using Unit Circle

Cot 37° in Terms of Trigonometric Functions

Using trigonometry formulas, we can represent the cot 37 degrees as:

• cos(37°)/sin(37°)
• ± cos 37°/√(1 - cos²(37°))
• ± √(1 - sin²(37°))/sin 37°
• ± 1/√(sec²(37°) - 1)
• ± √(cosec²(37°) - 1)
• 1/tan 37°

Note: Since 37° lies in the 1st Quadrant, the final value of cot 37° will be positive.

We can use trigonometric identities to represent cot 37° as,

• tan (90° - 37°) = tan 53°
• -tan (90° + 37°) = -tan 127°
• -cot (180° - 37°) = -cot 143°

Cot 37 Degrees Using Unit Circle

To find the value of cot 37 degrees using the unit circle:

• Rotate ‘r’ anticlockwise to form 37° angle with the positive x-axis.
• The cot of 37 degrees equals the x-coordinate(0.7986) divided by y-coordinate(0.6018) of the point of intersection (0.7986, 0.6018) of unit circle and r.

Hence the value of cot 37° = x/y = 1.327 (approx).

☛ Also Check:

• cot 105 degrees
• cot 50 degrees
• cot 450 degrees
• cot 315 degrees
• cot 150 degrees
• cot 390 degrees

FAQs on Cot 37 Degrees

What is Cot 37 Degrees?

Cot 37 degrees is the value of cotangent trigonometric function for an angle equal to 37 degrees. The value of cot 37° is 1.327 (approx).

What is the Value of Cot 37 Degrees in Terms of Sin 37°?

Using trigonometric identities, we can write cot 37° in terms of sin 37° as, cot(37°) = √(1 - sin²(37°))/sin 37° . Here, the value of sin 37° is equal to 0.6018.

How to Find Cot 37° in Terms of Other Trigonometric Functions?

Using trigonometry formula, the value of cot 37° can be given in terms of other trigonometric functions as:

• cos(37°)/sin(37°)
• ± cos 37°/√(1 - cos²(37°))
• ± √(1 - sin²(37°))/sin 37°
• ± 1/√(sec²(37°) - 1)
• ± √(cosec²(37°) - 1)
• 1/tan 37°

☛ Also check: trigonometric table

What is the Exact Value of Cot 37 Degrees?

The exact value of cot 37 degrees can be given accurately up to 8 decimal places as 1.32704482.

How to Find the Value of Cot 37 Degrees?

The value of cot 37 degrees can be calculated by constructing an angle of 37° with the x-axis, and then finding the coordinates of the corresponding point (0.7986, 0.6018) on the unit circle. The value of cot 37° is equal to the x-coordinate(0.7986) divided by the y-coordinate (0.6018). ∴ cot 37° = 1.327