Cotangent example sentences

"Cotangent" Example Sentences

1. The cotangent of an angle in a right triangle is equal to the ratio of the adjacent side to the opposite side.
2. The derivative of the cotangent function can be expressed as negative cosecant squared.
3. The graph of the cotangent function has asymptotes at every multiple of pi.
4. The cotangent of zero is undefined.
5. The cotangent of 45 degrees is equal to one.
6. The inverse cotangent function is also known as the arccotangent function.
7. The Taylor series expansion for the cotangent function is a sum of odd powers of x.
8. The hyperbolic cotangent function is defined as cosh x / sinh x.
9. The cotangent of 60 degrees is equal to the square root of 3.
10. The cotangent of 30 degrees is equal to the square root of 3 divided by 3.
11. The expression cot x / tan x is equal to the cosecant of x.
12. The integral of the cotangent function is equal to the natural logarithm of the absolute value of the sine function.
13. The cotangent function has a period of pi.
14. The cotangent function is odd, which means that cot (-x) = -cot x for all x.
15. The cotangent of an obtuse angle is negative.
16. The cotangent of a right angle is zero.
17. The cotangent of an angle in a unit circle is equal to the x-coordinate of the point on the circle.
18. The cotangent of 120 degrees is equal to negative one over the square root of 3.
19. The cotangent of 150 degrees is equal to negative square root of 3 divided by 3.
20. The limit of the cotangent function as x approaches pi / 2 is negative infinity.
21. The derivative of the inverse cotangent function is equal to one over one plus x squared.
22. The cotangent function is periodic, with a period of 180 degrees or pi.
23. The cotangent of an angle is equal to the tangent of its complementary angle.
24. The cotangent of 135 degrees is equal to negative one.
25. The cotangent of 210 degrees is equal to the square root of 3 divided by 3.
26. The cotangent of 240 degrees is equal to the negative square root of 3.
27. The cotangent of 270 degrees is undefined.
28. The cotangent of 300 degrees is equal to negative square root of 3 divided by 3.
29. The limit of the hyperbolic cotangent function as x approaches infinity is 1.
30. The integral of the hyperbolic cotangent function is equal to the natural logarithm of the absolute value of the hyperbolic sine function.

Common Phrases

1. The cotangent of an acute angle is the reciprocal of the tangent;
2. The cotangent of 0 degrees is undefined;
3. The range of cotangent is all real numbers;
4. The period of cotangent is π;
5. The graph of cotangent is discontinuous;
6. The derivative of cotangent is -cosecant squared.