Evaluate tan (- 11л/3) *
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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
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