Find the Exact Value tan(pi/4)^2

Problem

tan2(π/4)

Solution

1. Identify the basic trigonometric value for the angle π/4 radians, which is equivalent to 45

2. Recall that the tangent of π/4 is defined as the ratio of the sine to the cosine of that angle.

tan(π/4)=1

3. Apply the exponent to the identified value by squaring the result.

1=1

Final Answer

tan2(π/4)=1

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