How to calculate a cotangent

How to calculate a cotangent

Cotangent - one of functions in mathematics, together with a tangent making so-called group of derivative trigonometrical functions. Usually it is designated by three Latin letters ctg, but sometimes in foreign literature it is possible to meet also the designation cot. At the modern level of a computerization the calculation of a cotangent of complexity does not represent if the user has the minimum preparation in the field of trigonometry or access to help resources of the Internet.

Instruction

1. If the size of a corner which cotangent is required to be calculated is known, then use, for example, the standard calculator of the Windows operating system. The reference to its start is placed in the OS main menu — having opened its pressing the Win buttons, pass into the section "All Programs", and then into the subsection "Standard". Open the section "Office", select the Calculator item and the application will be started.

2. Enter the section "Look" of the menu of the calculator and choose a line "scientific" or "engineering", and then enter corner size. Among action buttons of the calculator there is no cotangent therefore you recognize that this function is equivalent to unit relation to a tangent of the same corner. Click the tan button, and then button 1/x in an application interface and you will see required value.

3. If the size of a corner which cotangent should be calculated is unknown, but is told that it lies in one of tops of a triangle and sizes of two other corners are specified, then use the theorem of the sum of corners of a triangle. This sum is always equal in the Cartesian space 180 ° therefore calculate a corner necessary to you subtraction from this number of sizes of two other corners. After that act the same as it is described in two previous steps.

4. If the size of a corner which cotangent should be calculated is unknown, but is told that it lies in one of tops of a triangle and sizes of two other corners are specified, then use the theorem of the sum of corners of a triangle. This sum is always equal in the Cartesian space 180 ° therefore calculate a corner necessary to you subtraction from this number of sizes of two other corners. After that act the same as it is described in two previous steps.

5. If it is necessary to deal rather often with trigonometrical functions, then it is better to remember some most often found values that every time not to spend time for calculations. For example, cotangents of corners in 90 ° and 270 ° are equal to zero, at 45 ° this function returns unit, at 30 ° — a square root from the three, at 60 ° — one third of a root from the three, and at 0 °, 180 ° and 360 ° the value of a cotangent is not defined.

Author: «MirrorInfo» Dream Team


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