Question

Find the exact value of the expression? `sec(π/3) cos(π/3) - tan(π/6)`

Answer 1

`1 - sqrt3/3`

Explanation:

Given: `sec(pi/3) cos(pi/3) - tan(pi/6)`

Use the identity: `sec(x)cos(x) = 1`

`1 - tan(pi/6)`

We know that `tan(pi/6) = sqrt3/3`

`1 - sqrt3/3`