find the exact value of tan (240)?

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find the exact value of tan (240)?

2007-05-06 11:46:06 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

4 answers

tan (240) = sin(240) / cos(240) = (-sqrt(3)/2) / (-1/2) = sqrt(3)

2007-05-06 11:50:19 · answer #1 · answered by Anonymous · 0⤊ 0⤋

â3

2007-05-06 11:50:47 · answer #2 · answered by novangelis 7 · 0⤊ 0⤋

tan(240) = tan(180+60), so it's in the third quadrant. The tangent is positive in the third quadrant, so this is the same as tan(60). And tan(60) = sin(60) / cos(60) = (â3/2) / (1/2) = â3.

2007-05-06 11:52:02 · answer #3 · answered by Anonymous · 0⤊ 0⤋

Use the angle addition rule: tan(a+b)=[tan(a) + tan(b)]/(1-tan(a)tan(b))
So in this case you have tan(240)=tan(180+60)=[tan(180)-tan(60)]/(1+tan(180)tan(60)) = [0+sqrt(3)]/(1)=sqrt(3)

2007-05-06 11:53:57 · answer #4 · answered by bruinfan 7 · 0⤊ 0⤋