1 + tan^2x =
To simplify the given expression, we can apply the trigonometric identity: 1 + tan^2(x) = sec^2(x)
To simplify the given expression, we can apply the trigonometric identity: 1 + tan^2(x) = sec^2(x).
The identity relates the tangent function (tan) to the secant function (sec) and states that the square of the tangent function plus one is equal to the square of the secant function.
Therefore, the simplified expression is sec^2(x).
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