What is cot degree?

What is cot degree?

Use this cotangent calculator to easily calculate the cotangent of an angle given in degrees or radians….Applications of the cotangent function.

x (°) x (rad.) cot(x)
90° π/2 0
120° 2π/3 -0.577350
135° 3π/4 -1
150° 5π/6 -1.732051

What is the exact value of cot?

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cotangent is negative in the fourth quadrant. The exact value of cot(60) is 1√3 .

What is the cot of 120 degrees?

Important Angle Summary

θ° θradians cot(θ)
120° 2π/3 -√3/3
135° 3π/4 -1
150° 5π/6 -√3
180° π N/A

What is the exact value of cot 135?

Important Angle Summary

θ° θradians cot(θ)
90° π/2 N/A
120° 2π/3 -√3/3
135° 3π/4 -1
150° 5π/6 -√3

What is the cot of 300 degrees?

Important Angle Summary

θ° θradians cot(θ)
225° 5π/4 1
240° 4π/3 √3/3
270° 3π/2 N/A
300° 5π/3 -√3/3

What is the exact value of CSC 300 degrees?

Important Angle Summary

θ° θradians csc(θ)
240° 4π/3 -2√3/3
270° 3π/2 -1
300° 5π/3 -2√3/3
315° 7π/4 -√2

What is the exact value of cot 60?

1√3

What is the cot of 240 degrees?

Important Angle Summary

θ° θradians cot(θ)
180° π N/A
210° 7π/6 √3
225° 5π/4 1
240° 4π/3 √3/3

What is the exact value of sin 240 degrees?

240 degrees is in the third quadrant, where the sin of the angle is negative. Subtracting 180 degrees from 240 degrees, you can see that the reference angle is 240-180 = 60 degrees.

What is the value of cot 180?

Important Angle Summary

θ° θradians cot(θ)
150° 5π/6 -√3
180° π N/A
210° 7π/6 √3
225° 5π/4 1

What is the cot of 270 degrees?

What is the value of cot 90?

Trigonometry Examples The exact value of cot(90°) cot ( 90 ° ) is 0 .

What is the value of cot 270 Theta?

What are the relations among all the trigonometrical ratios of (270° – θ)? In trigonometrical ratios of angles (270° – θ) we will find the relation between all six trigonometrical ratios. Using the above proved results we will prove all six trigonometrical ratios of (270° – θ). Therefore, cot (270° – θ) = tan θ.

What is the value of sin 270 Theta?

trigonometric ratios of 270 degrees minus theta|sin(270−Θ)=−cosΘ

What is the value of sin 90 Theta?

All triangles have 3 angles that add to 180 degrees. Therefore, if one angle is 90 degrees we can figure out Sin Theta = Cos (90 – Theta) and Cos Theta = Sin (90 – Theta).

What is the value of sin 360 Theta?

θ sin θ tan θ
90° 1 undefined
180° 0 0
270° −1 undefined
360° 0 0

Why is tan 270 undefined?

At zero degrees this tangent length will be zero. Hence, tan(0)=0. In the third quadrant the hypotenuse extended will now meet the tangent line above the x-axis and is now positive again. At 270 degrees we again have an undefined (und) result because we cannot divide by zero..

Why tan 90 is not defined?

Why is Tan 90 undefined? As we have got the result as infinity, and we cannot define infinity, therefore tan 90 is undefined.

Why is COT 90 defined?

That’s undefined because as you approach 90° from either direction, tan approaches positive or negative infinity. cot(90°) hence approaches 1/infinity (either positive or negative) which is just 0. A good way of thinking about it is to consider graphing reciprocal functions.

What is the value of cot 0 degree?

Notice, we have indeterminate form, so cot(0) is undefined.

What is the value of cot 30?

Trigonometry Examples The exact value of cot(30) is √3 .

Where does cot not exist?

cot θ will not exist at θ = 0 and θ = π. sin θ does not exist. The trigonometric functions are functions only of the angle θ.

What is the value of cot pi by 2?

The exact value of cot(π2) cot ( π 2 ) is 0 .

What is COT (- pi?

The value of cot(pi) is undefined. The cotangent function, cot(x), is defined as 1/tan(x). Since tan(pi) = 0, cot(pi) is undefined.

What is the value of cot PI 4?

The exact value of cot(π4) cot ( π 4 ) is 1 .

Is Cot Pi 2 undefined?

tan(π/2) is undefined but cot(π/2) is defined. We know that tan(π/2) is undefined, and cot(π/2)=0.

Why is cot undefined?

Cotangent is the reciprocal of tangent, so the cotangent of any angle x for which tan x = 0 must be undefined, since it would have a denominator equal to 0. The value of tan (pi) is 0, so the cotangent of (pi) must be undefined.

What is cot 3pi2?

2 Answers. Alan P. the terminal arm of 3π2 is along the negative Y-axis. The cot(3π2) is the value of x divided by the value of y for any point along the terminal arm.

What is the COT of pi 6?

The exact value of cot(π6) cot ( π 6 ) is √3 .