Cot 136 Degrees
The value of cot 136 degrees is -1.0355303. . .. Cot 136 degrees in radians is written as cot (136° × π/180°), i.e., cot (34π/45) or cot (2.373647. . .). In this article, we will discuss the methods to find the value of cot 136 degrees with examples.
- Cot 136° in decimal: -1.0355303. . .
- Cot (-136 degrees): 1.0355303. . .
- Cot 136° in radians: cot (34π/45) or cot (2.3736477 . . .)
What is the Value of Cot 136 Degrees?
The value of cot 136 degrees in decimal is -1.035530313. . .. Cot 136 degrees can also be expressed using the equivalent of the given angle (136 degrees) in radians (2.37364 . . .)
We know, using degree to radian conversion, θ in radians = θ in degrees × (pi/180°)
⇒ 136 degrees = 136° × (π/180°) rad = 34π/45 or 2.3736 . . .
∴ cot 136° = cot(2.3736) = -1.0355303. . .
Explanation:
For cot 136 degrees, the angle 136° lies between 90° and 180° (Second Quadrant). Since cotangent function is negative in the second quadrant, thus cot 136° value = -1.0355303. . .
Since the cotangent function is a periodic function, we can represent cot 136° as, cot 136 degrees = cot(136° + n × 180°), n ∈ Z.
⇒ cot 136° = cot 316° = cot 496°, and so on.
Note: Since, cotangent is an odd function, the value of cot(-136°) = -cot(136°).
Methods to Find Value of Cot 136 Degrees
The cotangent function is negative in the 2nd quadrant. The value of cot 136° is given as -1.03553. . . We can find the value of cot 136 degrees by:
- Using Trigonometric Functions
- Using Unit Circle
Cot 136° in Terms of Trigonometric Functions
Using trigonometry formulas, we can represent the cot 136 degrees as:
- cos(136°)/sin(136°)
- ± cos 136°/√(1 - cos²(136°))
- ± √(1 - sin²(136°))/sin 136°
- ± 1/√(sec²(136°) - 1)
- ± √(cosec²(136°) - 1)
- 1/tan 136°
Note: Since 136° lies in the 2nd Quadrant, the final value of cot 136° will be negative.
We can use trigonometric identities to represent cot 136° as,
- tan (90° - 136°) = tan(-46°)
- -tan (90° + 136°) = -tan 226°
- -cot (180° - 136°) = -cot 44°
Cot 136 Degrees Using Unit Circle
To find the value of cot 136 degrees using the unit circle:
- Rotate ‘r’ anticlockwise to form 136° angle with the positive x-axis.
- The cot of 136 degrees equals the x-coordinate(-0.7193) divided by y-coordinate(0.6947) of the point of intersection (-0.7193, 0.6947) of unit circle and r.
Hence the value of cot 136° = x/y = -1.0355 (approx).
☛ Also Check:
FAQs on Cot 136 Degrees
What is Cot 136 Degrees?
Cot 136 degrees is the value of cotangent trigonometric function for an angle equal to 136 degrees. The value of cot 136° is -1.0355 (approx).
How to Find the Value of Cot 136 Degrees?
The value of cot 136 degrees can be calculated by constructing an angle of 136° with the x-axis, and then finding the coordinates of the corresponding point (-0.7193, 0.6947) on the unit circle. The value of cot 136° is equal to the x-coordinate(-0.7193) divided by the y-coordinate (0.6947). ∴ cot 136° = -1.0355
How to Find Cot 136° in Terms of Other Trigonometric Functions?
Using trigonometry formula, the value of cot 136° can be given in terms of other trigonometric functions as:
- cos(136°)/sin(136°)
- ± cos 136°/√(1 - cos²(136°))
- ± √(1 - sin²(136°))/sin 136°
- ± 1/√(sec²(136°) - 1)
- ± √(cosec²(136°) - 1)
- 1/tan 136°
☛ Also check: trigonometry table
What is the Exact Value of Cot 136 Degrees?
The exact value of cot 136 degrees can be given accurately up to 8 decimal places as -1.03553031.
What is the Value of Cot 136 Degrees in Terms of Tan 136°?
Since the cotangent function is the reciprocal of the tangent function, we can write cot 136° as 1/tan(136°). The value of tan 136° is equal to -0.96568.