The exact value of sin 4π/3 is -√3/2 and tan 4π/3 is √3.
sin 4π/3 can be written as sin(4x180)/3 = sin 240°
240° lies in third quadrant where only tan and cot are positive.
So, sin 240° will be a negative value.
sin 240° = sin(180+60)° = -sin 60° = -√3/2
tan 4π/3 can be written as tan(4x180)/3 = tan 240°
240° lies in third quadrant where only tan and cot are positive.
So, tan 240° will be a positive value.
tan 240° = tan(180+60)° = tan 60° = √3
Thus, the value of sin 4π/3 is -√3/2 and tan 4π/3 is √3.
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