Cot 35 Degrees

The value of cot 35 degrees is 1.4281480. . .. Cot 35 degrees in radians is written as cot (35° × π/180°), i.e., cot (7π/36) or cot (0.610865. . .). In this article, we will discuss the methods to find the value of cot 35 degrees with examples.

• Cot 35° in decimal: 1.4281480. . .
• Cot (-35 degrees): -1.4281480. . .
• Cot 35° in radians: cot (7π/36) or cot (0.6108652 . . .)

What is the Value of Cot 35 Degrees?

The value of cot 35 degrees in decimal is 1.428148006. . .. Cot 35 degrees can also be expressed using the equivalent of the given angle (35 degrees) in radians (0.61086 . . .)

We know, using degree to radian conversion, θ in radians = θ in degrees × (pi/180°)
⇒ 35 degrees = 35° × (π/180°) rad = 7π/36 or 0.6108 . . .
∴ cot 35° = cot(0.6108) = 1.4281480. . .

Explanation:

For cot 35 degrees, the angle 35° lies between 0° and 90° (First Quadrant). Since cotangent function is positive in the first quadrant, thus cot 35° value = 1.4281480. . .
Since the cotangent function is a periodic function, we can represent cot 35° as, cot 35 degrees = cot(35° + n × 180°), n ∈ Z.
⇒ cot 35° = cot 215° = cot 395°, and so on.
Note: Since, cotangent is an odd function, the value of cot(-35°) = -cot(35°).

Methods to Find Value of Cot 35 Degrees

The cotangent function is positive in the 1st quadrant. The value of cot 35° is given as 1.42814. . . We can find the value of cot 35 degrees by:

• Using Trigonometric Functions
• Using Unit Circle

Cot 35° in Terms of Trigonometric Functions

Using trigonometry formulas, we can represent the cot 35 degrees as:

• cos(35°)/sin(35°)
• ± cos 35°/√(1 - cos²(35°))
• ± √(1 - sin²(35°))/sin 35°
• ± 1/√(sec²(35°) - 1)
• ± √(cosec²(35°) - 1)
• 1/tan 35°

Note: Since 35° lies in the 1st Quadrant, the final value of cot 35° will be positive.

We can use trigonometric identities to represent cot 35° as,

• tan (90° - 35°) = tan 55°
• -tan (90° + 35°) = -tan 125°
• -cot (180° - 35°) = -cot 145°

Cot 35 Degrees Using Unit Circle

To find the value of cot 35 degrees using the unit circle:

• Rotate ‘r’ anticlockwise to form 35° angle with the positive x-axis.
• The cot of 35 degrees equals the x-coordinate(0.8192) divided by y-coordinate(0.5736) of the point of intersection (0.8192, 0.5736) of unit circle and r.

Hence the value of cot 35° = x/y = 1.4281 (approx).

☛ Also Check:

• cot 105 degrees
• cot 60 degrees
• cot 4 degrees
• cot 450 degrees
• cot 570 degrees
• cot 330 degrees

FAQs on Cot 35 Degrees

What is Cot 35 Degrees?

Cot 35 degrees is the value of cotangent trigonometric function for an angle equal to 35 degrees. The value of cot 35° is 1.4281 (approx).

What is the Exact Value of Cot 35 Degrees?

The exact value of cot 35 degrees can be given accurately up to 8 decimal places as 1.42814800.

How to Find the Value of Cot 35 Degrees?

The value of cot 35 degrees can be calculated by constructing an angle of 35° with the x-axis, and then finding the coordinates of the corresponding point (0.8192, 0.5736) on the unit circle. The value of cot 35° is equal to the x-coordinate(0.8192) divided by the y-coordinate (0.5736). ∴ cot 35° = 1.4281

What is the Value of Cot 35 Degrees in Terms of Sin 35°?

Using trigonometric identities, we can write cot 35° in terms of sin 35° as, cot(35°) = √(1 - sin²(35°))/sin 35° . Here, the value of sin 35° is equal to 0.5736.

How to Find Cot 35° in Terms of Other Trigonometric Functions?

Using trigonometry formula, the value of cot 35° can be given in terms of other trigonometric functions as:

• cos(35°)/sin(35°)
• ± cos 35°/√(1 - cos²(35°))
• ± √(1 - sin²(35°))/sin 35°
• ± 1/√(sec²(35°) - 1)
• ± √(cosec²(35°) - 1)
• 1/tan 35°

☛ Also check: trigonometry table