Why does tan 60 Degrees = sqrt(3)? Include Diagram. Thanks

Question

amistre64 · Answer

a few reasons really; for one, how the tangent function is defined; and B, from the triangle that we get a 60 from

amistre64 · Answer

what kind of triangle has equal sides and equal angles?

anonymous · Answer

60-60-60 triangle

amistre64 · Answer

good, then lets draw it up :)  we also want to be familiar with the pythag thrm

anonymous · Answer

I am.

amistre64 · Answer

|dw:1331328610789:dw|

amistre64 · Answer

ill use a triangle with all side equal to 2 for simplicity

amistre64 · Answer

how do we find the missing leg?

amistre64 · Answer

that thing in the middle that is lol

anonymous · Answer

1  * the sqrt(3).

anonymous · Answer

Thanks.

amistre64 · Answer

youre welcome, but I dont understand your response

x^2 + 1^2 = 2^2

x^2 + 1 = 4

x^2 = 4-1

x = sqrt(3)  is our measure

and knowing that we can apply the definition of a tangent to 60

amistre64 · Answer

|dw:1331328832338:dw|tan = over/next.to