sec^2(x) can also be written as
(secx)^2
Sec^2(x) can also be written using other trigonometric functions as follows:
1. In terms of cosine:
sec^2(x) = 1/cos^2(x)
2. In terms of tangent:
sec^2(x) = 1+tan^2(x)
3. In terms of cotangent:
sec^2(x) = cot^2(x)/(cot^2(x)-1)
4. In terms of sine:
sec^2(x) = 1/(1-sin^2(x))
Note that these trigonometric identities can be derived from the fundamental trigonometric ratio, sin^2(x) + cos^2(x) = 1, by dividing both sides by cos^2(x) and manipulating the terms. It is important to be familiar with these identities when simplifying trigonometric expressions or solving trigonometric equations.
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