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How to Put Arctan in Calculator Ti-84 Plus

Reviewed by Calculator Editorial Team

The TI-84 Plus calculator is a powerful tool for students and professionals in mathematics, science, and engineering. One of its most useful functions is the arctangent (arctan) function, which calculates the angle whose tangent is a given number. This guide will walk you through how to use the arctan function on your TI-84 Plus calculator.

Introduction

The arctangent function, often written as arctan or tan⁻¹, is the inverse of the tangent function. It returns the angle whose tangent is the given number. This function is essential in trigonometry, physics, and engineering for solving problems involving right triangles and circular motion.

Your TI-84 Plus calculator has a built-in arctan function that you can access through the calculator's menu. This guide will show you how to navigate to the arctan function and use it to solve problems.

Step-by-Step Instructions

  1. Turn on your TI-84 Plus calculator. Press the power button to turn on the calculator.
  2. Access the math menu. Press the 2ND key and then the MATH key to open the math menu.
  3. Select the trigonometric functions. Use the arrow keys to highlight the TRIG option and press ENTER.
  4. Choose the arctangent function. Use the arrow keys to select tan⁻¹ and press ENTER.
  5. Enter the value. Type the number for which you want to find the arctangent. For example, if you want to find the angle whose tangent is 0.5, type 0.5.
  6. Calculate the result. Press ENTER to calculate the arctangent. The calculator will display the angle in degrees or radians, depending on your mode setting.

Note: The TI-84 Plus calculator can display angles in degrees or radians. To change the angle mode, press the MODE key and use the arrow keys to select Deg or Rad.

Worked Example

Let's say you need to find the angle whose tangent is 1. Follow these steps:

  1. Turn on your TI-84 Plus calculator.
  2. Press 2ND and then MATH to open the math menu.
  3. Use the arrow keys to select TRIG and press ENTER.
  4. Use the arrow keys to select tan⁻¹ and press ENTER.
  5. Type 1 and press ENTER.

The calculator will display the result as 45 if it's in degree mode or 0.785398163 if it's in radian mode. This is because the arctangent of 1 is 45 degrees or π/4 radians.

Formula Used

The arctangent function is defined as:

tan⁻¹(x) = θ, where tan(θ) = x

This means that the arctangent of a number x is the angle θ whose tangent is x. The result is typically given in degrees or radians, depending on the calculator's mode setting.

Frequently Asked Questions

How do I change the angle mode on my TI-84 Plus calculator?
To change the angle mode, press the MODE key and use the arrow keys to select Deg for degrees or Rad for radians.
What is the difference between tan and tan⁻¹ on the TI-84 Plus?
The tan function calculates the tangent of an angle, while the tan⁻¹ function calculates the angle whose tangent is a given number.
Can I use the arctan function with negative numbers?
Yes, the arctan function can be used with negative numbers. The result will be a negative angle if the input is negative.
How do I clear the last entry on the TI-84 Plus?
Press the 2ND key and then the CLEAR key to clear the last entry.
Where can I find more information about the TI-84 Plus calculator?
You can visit the official TI website for detailed documentation and support.