How do you Find the Exact Value for Tan 120?
By Balaji
Updated on: March 23rd, 2023
The exact value for Tan 120 is found using a specific formula and the resultant value is 1.7321 (approx). Tan 120 degrees is written as tan (120° /180°), which is also known as tan (2/3) or tan (2.094395….). Tan 120° equals tan 300°, tan 480°, and so forth.
Table of content

1. Exact Value for Tan 120
Exact Value for Tan 120
The angle of 120° for Tan 120° is between 90° and 180°. (second quadrant). The value of tan 120° is 3 or 1.7321 (approximately) because of the negative tangent function of the second quadrant. Given that the tangent function is a period, we can write tan 120° as tan (120° + n 180°). We can find the value of tan 120 degrees by:
 Using Unit Circle: Rotate “r” counterclockwise to establish a 120degree angle with the positive xaxis to obtain a value of tan 120 degrees using the unit circle. A tandem of 120 degrees is equal to the ycoordinate (0.866) divided by the xcoordinate (0.5) at the place where the unit circle and r cross (0.5, 0.866). Accordingly, tan 120° = y/x = 1.7321 (approximately).
 Using Trigonometric Functions: As cot(90° – 120°) = cot(30°) , we can use trigonometric identities to represent tan 120°.
Related Questions:
 Name the Areas Where the Mangrove Forests are Found in India
 The Equator Passes through Which States of India?
 Which State in India has the Lowest Population Density?
 What are Developed Resources?
 What is a Simple Keynesian Model?
 State Similarities and Differences Between Laboratory Thermometer and Clinical Thermometer