The given expression is
[tex] tan 30 - \frac{cos 60}{cos30} [/tex]
And using complementary identity, which is
[tex] cos(90- \theta) = sin \theta [/tex]
So we will get
[tex] cos 60 = cos(90-30)=sin 30 [/tex]
Substituting sin 30 for cos 60 in the given expression
[tex] tan 30 - \frac{sin 30}{cos 30}
\\
= tan 30- tan 30
\\
= 0 [/tex]
So the value of the expression is 0.
