1 + tan^2x =
To solve this equation, we first need to recall the identity for tangent squared:
tan^2x = sec^2x – 1
To solve this equation, we first need to recall the identity for tangent squared:
tan^2x = sec^2x – 1.
Using this identity, we can rewrite the equation 1 + tan^2x as:
1 + (sec^2x – 1).
Simplifying further, we have:
1 + sec^2x – 1.
The 1 and -1 cancel out, leaving us with:
sec^2x.
Therefore, the simplified form of the equation 1 + tan^2x is just sec^2x.
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