Question

Evaluate tan 60º/ cos 45º

Answer 1

`√(6)`

Explanation:

We want to evaluate:

`( \tan(60 \degree) )/( \cos(45 \degree) )`

Recall from special angles that:

`\tan(60 \degree) = √(3)`

`\cos(45 \degree) = ( √(2) )/(2)`

We substitute these values into the given expression to get:

`( √(3) )/( ( √(2) )/(2) )`

`= √(3) * (2)/( √(2) )`

`= 2 √(3) * ( √(2) )/(2)`

`= √(6)`