Question

Use the unit circle to find the value of tan 30

Answer 1

`(√(3))/(3)`

Explanation:

`\sin(30^(\circ)) = (1 )/(2 )`

`\cos(30^(\circ)) = (√(3) )/(2 )`

`\tan(30^(\circ)) = \frac{\text{opposite} }{\text{adjacent} }`

`\tan(30^(\circ)) = \frac{(1 )/(2 )} {(√(3) )/( 2)}`

`\tan(30^(\circ)) = (1 )/(2 ) *{(2)/(√(3) )}`

`\tan(30^(\circ)) = (1)/(√(3))`

`\tan(30^(\circ)) = (√(3))/(3)`