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How do you Find the Exact Value of tan120 Degrees?
To find the exact value of tan 120 degrees is needed to follow the below-mentioned steps.
The help of tan 90 degrees becomes very crucial in finding the value of tan 120 degrees. Before moving on to the solution segment it is also important to understand the values of tan 90 degrees before deriving it. The values of these numbers can be described both in the form of root values as well as in the form of digits.
The value of tan 120 degrees in the form of root happens to be -√3. When described in the form of whole numbers the value happens to be -1.7321. In the same way, the value of tan 90 degrees happens to be undefined. In mathematical concepts the value of undefined is known as infinity. Thus the derivation of the exact value of tan 120 degrees is mentioned below.
Finding the exact value of tan 120 degrees with the help of tan 90 degrees.
tan 120 degrees = tan (90+30 ) degrees
The result of this equation turns out to be, – cot 30 (degrees)
The value of – cot 30 (degrees) happens to be -√3.
Thus, tan 120 degrees = -√3.
