Simplify 1-sec(t)^2

Problem

1−sec(t)

Solution

1. Identify the relevant trigonometric identity involving the secant function.

2. Recall the Pythagorean identity relating tangent and secant.

tan(t)+1=sec(t)

3. Rearrange the identity to match the form of the given expression by subtracting sec(t) and tan(t) from both sides.

1−sec(t)=−tan(t)

Final Answer

1−sec(t)=−tan(t)

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