Respuesta :

Answer:

[tex] \sqrt{3} [/tex]

Step-by-step explanation:

tan(π/3)

Find the value using the definition of tangent.

tan(π3)= opposite/adjacent

Substitute the values into the definition.

tan(π/3)=√3/2 1/2

decimal form= 1.7320

Answer:

[tex]\sqrt{3[/tex]

Step-by-step explanation:

pi/3 = 60 degrees. Tan = y/x. The Y of 60 degrees is [tex]\frac{\sqrt{3} }{2}[/tex] and the X is 1/2.

*Remember dividing by a fraction is equal to the multiplication of the reciprocal (flip the fraction over):

[tex]\frac{\sqrt{3} }{2} * \frac{2}{1}[/tex]

The 2's cancel out because 2/2 = 1. So you are left with:

[tex]\frac{\sqrt{3} }{1}[/tex] = [tex]\sqrt{3}[/tex]

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