1 + tan^2 x
To simplify the expression 1 + tan^2(x), we can use the trigonometric identity for the Pythagorean theorem that relates tan(x) to sin(x) and cos(x):
tan^2(x) + 1 = sec^2(x)
Using this identity, we can see that the expression 1 + tan^2(x) is equal to sec^2(x)
To simplify the expression 1 + tan^2(x), we can use the trigonometric identity for the Pythagorean theorem that relates tan(x) to sin(x) and cos(x):
tan^2(x) + 1 = sec^2(x)
Using this identity, we can see that the expression 1 + tan^2(x) is equal to sec^2(x).
Therefore, the simplified expression is sec^2(x).
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