## 1 + tan^2 x

### To simplify the expression 1 + tan^2 x, we can use the trigonometric identity tan^2 x = sec^2 x – 1

To simplify the expression 1 + tan^2 x, we can use the trigonometric identity tan^2 x = sec^2 x – 1.

The identity states that the square of the tangent of an angle x is equal to the square of the secant of the same angle minus 1.

So, substituting this identity into the expression, we have:

1 + tan^2 x = 1 + (sec^2 x – 1) = 1 + sec^2 x – 1 = sec^2 x.

Hence, the simplified form of 1 + tan^2 x is sec^2 x.

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