Find the Exact Value tan(45)

Problem

tan(45)

Solution

1. Identify the angle in the context of the unit circle or a special right triangle.

2. Recall that for an angle of 45 the reference triangle is an isosceles right triangle where the legs are equal in length.

3. Apply the definition of the tangent function, which is the ratio of the opposite side to the adjacent side in a right triangle.

4. Substitute the values for a 45 triangle, where the opposite side is 1 and the adjacent side is 1

5. Simplify the fraction 1/1 to find the final value.

Final Answer

tan(45)=1

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