# Show that sec x i

Let f(x) = sec x

Therefore, f(x) = f(x) is not defined when cos x = 0

And cos x = 0 when, x = and odd multiples of like Let us consider the function

f(a) = cos a and let c be any real number. Then,  = cos c - sin c = cos c (1) – sin c (0)

Therefore, cos c

Similarly, f(c) = cos c

Therefore, f(c) = cos c

So, f(a) is continuous at a = c

Similarly, cos x is also continuous everywhere

Therefore, sec x is continuous on the open interval Rate this question :

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