Simplify cos(x)^2-1

Problem

cos(x)−1

Solution

1. Identify the relevant trigonometric identity. The Pythagorean identity states:

sin(x)+cos(x)=1

2. Rearrange the identity to match the form of the given expression by subtracting 1 and sin(x) from both sides:

cos(x)−1=−sin(x)

3. Substitute the result into the original expression to find the simplified form.

Final Answer

cos(x)−1=−sin(x)

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