Find the Exact Value tan(-pi/4)

Problem

tan(−π/4)

Solution

1. Identify the property of the tangent function for negative angles. Since tangent is an odd function, tan(−x)=−tan(x)

tan(−π/4)=−tan(π/4)

2. Recall the value of the tangent function at the common angle π/4 (or 45.

tan(π/4)=1

3. Substitute the known value back into the expression.

−tan(π/4)=−1

Final Answer

tan(−π/4)=−1

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