tan 60°
√3
The value of the tangent of 60 degrees can be determined using the following formula:
tan(x) = sin(x) / cos(x)
where x is the angle in radians.
We can convert 60 degrees to radians using the formula:
radians = degrees * pi / 180
Thus, for 60 degrees:
radians = 60 * pi / 180
radians = pi / 3
Now that we have the angle in radians, we can find the values of sine and cosine using the unit circle or a calculator.
sin(pi/3) = sqrt(3)/2
cos(pi/3) = 1/2
Substituting these values in the formula for tangent, we get:
tan(60°) = sin(60°) / cos(60°)
tan(60°) = (sqrt(3)/2) / (1/2)
tan(60°) = sqrt(3)
Therefore, the value of the tangent of 60 degrees is sqrt(3) or approximately 1.732.
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