Find the Exact Value tan(-45 degrees )

Problem

tan(−45)

Solution

1. Identify the property of the tangent function for negative angles. The tangent function is odd, meaning tan(−θ)=−tan(θ)

2. Apply the property to the given expression to move the negative sign outside the function.

tan(−45)=−tan(45)

3. Recall the exact value of tan(45) from the unit circle or a special right triangle (45−45−90.

tan(45)=1

4. Substitute the value back into the expression to find the final result.

−1*(1)=−1

Final Answer

tan(−45)=−1

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