Find the Exact Value cot(40)
Problem
Solution
Identify the expression as the cotangent of
40 degrees.Recognize that
40 is not a standard reference angle (such as0 30 45 60 or90 for which exact values are typically expressed using simple radicals.Express the value using the definition of cotangent as the ratio of cosine to sine.
Determine if further simplification is possible. While there are complex radical expressions for angles in increments of
3 40 does not result in a simple algebraic form. Therefore, the exact value is represented by the trigonometric function itself.
Final Answer
Want more problems? Check here!