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 xaxis.
 The cot of 35 degrees equals the xcoordinate(0.8192) divided by ycoordinate(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:
Examples Using Cot 35 Degrees

Example 1: Simplify: 5 (cot 35°/tan 55°)
Solution:
We know cot 35° = tan 55°
⇒ 5 cot 35°/tan 55° = 5 (cot 35°/cot 35°)
= 5(1) = 5 
Example 2: Find the value of (cos (35°) cosec (17.5°) sec (17.5°))/2. [Hint: Use cot 35° = 1.4281]
Solution:
Using trigonometry formulas,
(cos (35°) cosec (17.5°) sec (17.5°))/2 = cos (35°)/(2 sin (17.5°) cos (17.5°))
Using sin 2a formula,
2 sin (17.5°) cos (17.5°) = sin (2 × 17.5°) = sin 35°
⇒ cos (35°) / sin (35°) = cot 35°
⇒ (cos (35°) cosec (17.5°) sec (17.5°))/2 = 1.4281 
Example 3: Find the value of 2 cot(35°)/3 cot(145°).
Solution:
Using trigonometric identities, we know, cot(35°) = cot(180°  35°) = cot 145°.
⇒ cot(35°) = cot(145°)
⇒ Value of 2 cot(35°)/3 cot(145°) = 2/3
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 xaxis, 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 xcoordinate(0.8192) divided by the ycoordinate (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