How To Do Cotangent On Ti 84?

How to Find the Cotangent on a TI-84 Plus Calculator

The cotangent function is the reciprocal of the tangent function, and it is used to find the ratio of the adjacent side of a right triangle to the opposite side. In trigonometry, the cotangent is often abbreviated as cot or ctg.

To find the cotangent of an angle on a TI-84 Plus calculator, follow these steps:

1. Press the MODE button and select radian mode.
2. Enter the angle in degrees in the Y= screen.
3. Press the 2nd button and then the tan button.
4. The cotangent of the angle will be displayed in the Y= screen.

For example, to find the cotangent of 45 degrees, you would enter 45 in the Y= screen and then press 2nd tan. The cotangent of 45 degrees is 1, which is displayed in the Y= screen.

Step	Instructions	Example
1	Press the MODE button and select radian mode.
2	Enter the angle in degrees.
3	Press the 2nd button and then the TAN button.
4	The cotangent of the angle will be displayed on the screen.

What is cotangent?

Cotangent is a trigonometric function that is the reciprocal of tangent. In other words, cotangent is equal to 1 divided by tangent. The cotangent of an angle is the ratio of the length of the side adjacent to the angle to the length of the side opposite the angle.

The cotangent function is denoted by the symbol cot or ctg. The cotangent of an angle is written as cot() or ctg().

The cotangent function is periodic, with a period of . This means that the cotangent of an angle is the same as the cotangent of an angle that is radians greater or less than the original angle.

The cotangent function is an odd function, which means that cot(-) = -cot().

The cotangent function is not defined for angles that are equal to /2 or 3/2.

How to find the cotangent of an angle on a TI-84?

To find the cotangent of an angle on a TI-84, follow these steps:

1. Press the “MODE” button and select “Degrees”.
2. Enter the angle in degrees in the Y= window.
3. Press the “2nd” button and then the “TAN” button.
4. The cotangent of the angle will be displayed in the home screen.

For example, to find the cotangent of 30 degrees, you would enter “30” in the Y= window and then press “2nd” and “TAN”. The cotangent of 30 degrees is 0.5773502691.

You can also use the cotangent function to find the length of a side of a right triangle. To do this, you would need to know the length of the other two sides of the triangle.

For example, if you know that the adjacent side of a right triangle is 3 units long and the opposite side is 4 units long, you can find the cotangent of the angle between the two sides by using the following formula:

cot() = 4/3

The angle between the two sides is 53.13010235 radians.

Different ways to find the cotangent of an angle on a TI-84

There are three different ways to find the cotangent of an angle on a TI-84:

1. Using the cotangent function
2. Using the inverse tangent function
3. Using the tangent function

Using the cotangent function

The cotangent function is located on the second function menu, under the trigonometric functions. To find the cotangent of an angle, enter the angle in degrees in the Y= menu and press [2nd] [TAN]. The cotangent of the angle will be displayed on the screen.

For example, to find the cotangent of 45 degrees, enter 45 in the Y= menu and press [2nd] [TAN]. The cotangent of 45 degrees is 1, which will be displayed on the screen.

Using the inverse tangent function

The inverse tangent function is located on the second function menu, under the statistical functions. To find the cotangent of an angle, enter the tangent of the angle in degrees in the Y= menu and press [2nd] [INV] [TAN]. The cotangent of the angle will be displayed on the screen.

For example, to find the cotangent of 45 degrees, enter tan(45) in the Y= menu and press [2nd] [INV] [TAN]. The cotangent of 45 degrees is 1, which will be displayed on the screen.

Using the tangent function

The tangent function is located on the second function menu, under the trigonometric functions. To find the cotangent of an angle, enter the reciprocal of the tangent of the angle in degrees in the Y= menu and press [2nd] [TAN]. The cotangent of the angle will be displayed on the screen.

For example, to find the cotangent of 45 degrees, enter 1/tan(45) in the Y= menu and press [2nd] [TAN]. The cotangent of 45 degrees is 1, which will be displayed on the screen.

Using the cotangent function on a TI-84 to solve problems

The cotangent function can be used to solve a variety of problems, including:

• Finding the angle of elevation or depression of an object
• Finding the length of a side of a right triangle
• Finding the area of a sector of a circle

Finding the angle of elevation or depression of an object

The angle of elevation or depression of an object is the angle between the horizontal and the line of sight to the object. To find the angle of elevation or depression of an object, use the following formula:

where:

• is the angle of elevation or depression, in degrees
• h is the height of the object, in feet or meters
• d is the distance to the object, in feet or meters

For example, if you are standing 100 feet away from a tree that is 50 feet tall, the angle of elevation to the top of the tree is:

= tan^-1(0.5) = 26.57

So, the angle of elevation to the top of the tree is 26.57.

Finding the length of a side of a right triangle

The cotangent function can be used to find the length of a side of a right triangle if you know the other two sides. To find the length of the side opposite the angle , use the following formula:

where:

• a is the length of the side opposite the angle , in feet or meters
• b is the length of the side adjacent to the angle , in feet or meters
• is the angle between the sides a and b, in degrees

For example, if

How do I find the cotangent of an angle on a TI-84 Plus calculator?

1. Press the MODE button and select radian mode.
2. Enter the angle in degrees in the Y= editor.
3. Press the 2nd button and then the TAN button.
4. The cotangent of the angle will be displayed in the Y= editor.

How do I find the cotangent of an angle in degrees on a TI-84 Plus CE calculator?

1. Press the MODE button and select degree mode.
2. Enter the angle in degrees in the Y= editor.
3. Press the 2nd button and then the TAN button.
4. The cotangent of the angle will be displayed in the Y= editor.

How do I find the cotangent of an angle in radians on a TI-84 Plus CE calculator?

1. Press the MODE button and select radian mode.
2. Enter the angle in radians in the Y= editor.
3. Press the 2nd button and then the TAN button.
4. The cotangent of the angle will be displayed in the Y= editor.

What is the cotangent of 45 degrees?

The cotangent of 45 degrees is 1.

What is the cotangent of 90 degrees?

The cotangent of 90 degrees is .

What is the cotangent of 180 degrees?

The cotangent of 180 degrees is -1.

In this blog post, we have discussed how to find the cotangent of an angle on the TI-84 Plus calculator. We first reviewed the definition of cotangent and then showed how to find the cotangent of an angle using the calculator’s tangent function. We also showed how to find the cotangent of an angle using the calculator’s inverse tangent function. Finally, we provided some tips for using the calculator to find the cotangent of an angle.

We hope that this blog post has been helpful in learning how to find the cotangent of an angle on the TI-84 Plus calculator. If you have any questions, please feel free to leave them in the comments section below.