1 + tan^2x =
To solve this equation, we can use the trigonometric identity for the tangent squared:
tan^2(x) = sec^2(x) – 1
Now, let’s substitute this identity into the equation:
1 + tan^2(x) = 1 + (sec^2(x) – 1)
The ‘1’ terms cancel out, leaving us with:
1 + tan^2(x) = sec^2(x)
Therefore, the simplified equation is:
sec^2(x) = 1 + tan^2(x)
In conclusion, 1 + tan^2(x) is equivalent to sec^2(x)
To solve this equation, we can use the trigonometric identity for the tangent squared:
tan^2(x) = sec^2(x) – 1
Now, let’s substitute this identity into the equation:
1 + tan^2(x) = 1 + (sec^2(x) – 1)
The ‘1’ terms cancel out, leaving us with:
1 + tan^2(x) = sec^2(x)
Therefore, the simplified equation is:
sec^2(x) = 1 + tan^2(x)
In conclusion, 1 + tan^2(x) is equivalent to sec^2(x).
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