Simplify (cos(x))/(cos(x))

Problem

cos(x)/cos(x)

Solution

1. Identify the expression as a fraction where the numerator and the denominator are identical trigonometric functions.

2. Apply the property of division which states that any non-zero expression divided by itself equals 1.

3. Note the domain restriction where cos(x)≠0 which occurs when x≠π/2+n*π for any integer n

4. Simplify the expression by canceling the common terms.

Final Answer

cos(x)/cos(x)=1

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