Question

What are the six trig function values of `pi/6`?

Answer 1

`sin(pi/6)= 1/2color(white)("xxxx")csc(pi/6)=2`
`cos(pi/6)=sqrt(3)/2color(white)("xxx")sec(pi/6)=2/sqrt(3)`
`tan(pi/6)=1/sqrt(3)color(white)("xxx")cot(pi/6)=sqrt(3)`

Explanation:

Using the diagram below:

and the basic definitions:
#{: (sin="opposite"/"hypotenuse",color(white)("xxx"),csc=1/sin), (cos="adjacent"/"hypotenuse",,sec=1/cos), (tan="opposite"/"adjacent",,cot=1/tan) :}#