Simplify cos(( square root of 2)/2)

Problem

cos(√(,2)/2)

Solution

1. Identify the expression as the cosine of a constant value, where the argument is √(,2)/2 radians.

2. Recognize that √(,2)/2 is approximately 0.7071 radians.

3. Evaluate the cosine function for this numerical value. Since √(,2)/2 is not a standard multiple of π (like π/4, the expression is already in its simplest exact form.

4. Note the distinction that if the task were to find the angle whose cosine is √(,2)/2 the answer would be π/4 but here we are taking the cosine of the value √(,2)/2

Final Answer

cos(√(,2)/2)=cos(√(,2)/2)

Want more problems? Check here!