Question

What is the exact value of tan 30°? enter your answer, as a simplified fraction, by filling in the boxes.

Answer 1

please see photo above for detailed analysis.

Answer 2

√3 / 3

Step-by-step explanation:

Here,

tanx = sinx / cosx

By substituting the values , we get ,

tan ( 30 ) = 1/2

————

√3/2

Now,

By multiplying both numbers,

tan ( 30 ) = 1/√3

At Last,

Multiplying both numbers by square root 3,

tan ( 30 ) = √3/√3 * √3 = √3 / 3 . answer