Simplify 1+tan(theta)^2

Problem

1+tan2(θ)

Solution

1. Identify the expression as a fundamental trigonometric identity.

2. Recall the Pythagorean identity for tangent and secant, which states that the sum of one and the square of the tangent of an angle is equal to the square of the secant of that angle.

3. Substitute the identity into the expression to reach the simplest form.

Final Answer

1+tan2(θ)=sec2(θ)

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