Simplify sec(x)^2-1

Problem

sec2(x)−1

Solution

1. Identify the fundamental Pythagorean identity involving the secant function.

tan2(x)+1=sec2(x)

2. Rearrange the identity to isolate the expression given in the problem by subtracting 1 from both sides.

tan2(x)=sec2(x)−1

3. Substitute the equivalent expression to simplify the original term.

sec2(x)−1=tan2(x)

Final Answer

sec2(x)−1=tan2(x)

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