Find the Exact Value cot(80)

Problem

cot(80)

Solution

1. Identify the expression as the cotangent of an angle measured in degrees.

2. Recognize that 80 is not a standard reference angle (like 30 45 or 60, so the exact value is typically expressed in terms of trigonometric functions of standard angles or left in its simplest trigonometric form.

3. Apply the cofunction identity cot(θ)=tan(90−θ) to rewrite the expression.

4. Substitute θ=80 into the identity.

90−80=10

5. Simplify the expression to its equivalent tangent form.

cot(80)=tan(10)

Final Answer

cot(80)=tan(10)

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