## 1 + tan^2x =

### To solve this equation, we need to use trigonometric identities

To solve this equation, we need to use trigonometric identities. In this case, we will use the identity involving the tangent function:

1 + tan^2x = sec^2x

Therefore, the equation is equal to sec^2x. The secant function, sec(x), is defined as the reciprocal of the cosine function, so sec(x) = 1/cos(x).

Hence, the simplified expression for 1 + tan^2x is sec^2x or (1/cos^2x).

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