Question

Evaluate tan (- 11л/3) *​

Answer 1

Answer:

An angle of 30° is found is a right-angled triangle with sides in the ratio :

1

:

2

:

√

3

tan

30

°

=

opp

adj

=

1

√

3

However, an angle of

−

30

°

lies in the 4th quadrant. The opposite side (y value) is negative, which causes tan values in the 4th quadrant to be negative.

(tan -30° = tan 330°)

Therefore

tan

(

−

30

°

)

=

−

1

√

3

=

−

1

√

3