Complementary function to sec(x)
csc(x)
To find the complementary function to sec(x), we can start by understanding what a complementary function is. In mathematics, the complementary function is the function that, when added to another function, results in a specific relationship or condition being satisfied.
In this case, the complementary function to sec(x) would be a function that, when added to sec(x), yields a specific relationship or condition. To determine this complementary function, we need to consider the relationship between sec(x) and its complementary function.
The reciprocal of sec(x) is the cosine function, cos(x). Therefore, we can say that cos(x) is the complementary function to sec(x). This is because when sec(x) and cos(x) are added, they yield the identity function, which is equivalent to 1 for all values of x.
More formally, we can express this relationship as follows:
sec(x) + cos(x) = 1
So, the complementary function to sec(x) is cos(x).
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