Evaluate cos(37)

Problem

cos(37)

Solution

1. Identify the angle and the unit. The task asks for the cosine of 37 which is typically interpreted as 37 degrees in most introductory trigonometry contexts.

2. Determine the value using a calculator or trigonometric tables. The angle 37 is not one of the standard "special" angles (like 30 45 or 60, though it is often used in physics as an approximation for a 3−4−5 right triangle where cos(36.87)≈0.8

3. Calculate the decimal approximation to four decimal places.

cos(37)≈0.7986355

4. Round the result to a standard number of decimal places.

cos(37)≈0.7986

Final Answer

cos(37)≈0.7986

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