cot(-60°) find value
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Answer:
-√(3) / 3
Step-by-step explanation:
Recall that tanθ = sinθ / cosθ.
cotθ is the reciprocal of that.
Also, -60 degrees is in the 4th quadrant. cosine is positive here and sine is negative here.
cot(-60)=
cos(-60) / sin(-60) =
(1/2) / (-√(3) / 2) =
(1/2) * (-2 / √(3)) =
-1/√(3)
Rationalize the denominator. Multiply the result by √(3) / √(3). We end up with
-√(3) / 3
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