Simplify (1-sin(x)^2)/(cos(x))

Problem

(1−sin2(x))/cos(x)

Solution

1. Identify the Pythagorean identity sin2(x)+cos2(x)=1

2. Rearrange the identity to solve for the numerator: 1−sin2(x)=cos2(x)

3. Substitute the expression cos2(x) into the numerator of the original fraction.

4. Simplify the fraction by dividing the numerator by the denominator.

Final Answer

(1−sin2(x))/cos(x)=cos(x)

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