To find the cotangent of 290 degrees, we first need to find the tangent of 290 degrees.
We know that cot(x) = 1/tan(x), so we can use the formula cot(290) = 1/tan(290).
To find tan(290), we first need to find the reference angle by subtracting 180 degrees from 290 degrees:
290 - 180 = 110 degrees
Since 110 degrees is in the second quadrant, tan(290) will be negative.
Next, we find the tangent of the reference angle, 110 degrees:
tan(110) = -2.7475 (rounded to four decimal places)
Therefore, cot(290) = 1/(-2.7475) = -0.3643
Rounded to the nearest hundredth, cot(290) is approximately -0.36.
Evaluate cot 290º. Round your answer to the nearest hundredth.
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