How to find the value of A = tan⁻¹(1.5) in radian.

To find the value of \( A = \tan^{-1}(1.5) \) in radians, you can use a scientific calculator or a mathematical software tool. Here’s a simple guide to help you understand the process:

Using a Calculator

Follow these steps:

• Turn on your scientific calculator.
• Look for the button labeled "tan^-1" or "atan".
• Input the value 1.5.
• Press the "tan^-1" button.

The calculator will display the result in radians.

Approximate Value

The approximate value of \( A \) is:

A ≈ 0.9828 radians

Understanding the Result

This value means that the angle whose tangent is 1.5 is about 0.9828 radians. This can also be converted to degrees if needed, but in this case, we are focusing on radians.

Practical Applications

Knowing how to find the inverse tangent is useful in various fields such as physics, engineering, and computer graphics, where angles and their relationships are crucial.