How do you find the exact value of Cot π/3 - cosπ/6?
1 Answer
Jan 4, 2018
This evaluates to
Explanation:
We can rewrite
#=cos(pi/3)/sin(pi/3) - cos(pi/6)#
We can now easily evaluate using our knowledge of the 30-60-90 triangle.
#= (1/2)/(sqrt(3)/2) - sqrt(3)/2#
#= 1/sqrt(3) - sqrt(3)/2#
#= (1 - 3)/(2sqrt(3))#
#= -1/sqrt(3)#
Hopefully this helps!
