Find the Value Using the Unit Circle cot(90)

Problem

cot(90)

Solution

1. Identify the coordinates on the unit circle for the given angle. At 90 the point on the unit circle is (x,y)=(0,1)

2. Apply the formula for the cotangent function in terms of x and y coordinates. The cotangent is defined as the ratio of the xcoordinate to the ycoordinate.

cot(θ)=x/y

3. Substitute the values x=0 and y=1 into the formula.

cot(90)=0/1

4. Simplify the fraction to find the final value.

cot(90)=0

Final Answer

cot(90)=0

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