Question

What is the exact value of `sec -330`?

Answer 1

`sec(-330)=(2sqrt3)/3`

Explanation:

`sec(-330)`

`-330" "`will be in the first quadrant

`-330=+30`

`:.sec(-330)=sec30`

`sec30=1/cos30`

`because cos30=sqrt3/2`

`sec30=1/(sqrt3/2)=2/sqrt3`

rationalising

`sec30=(2sqrt3)/3`