Evaluate cot 290º. Round your answer to the nearest hundredth.
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.