Question

sechx is a odd or even function​

Answer 1

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EVEN FUNCTION

step-by-step explanation:

We know that,

If

f(-x) = f(x)

Its an even function.

and if

f(-x) = -f(x)

it's an odd function.

Now,

Let,

f(x) = sec x

then,

f(-x) = sec (-x) = 1/cos(-x)

But, we know that,

cos (-x) = cos x

=> f(-x) = 1/cos x

=> f(-x) = sec x = f (x)

so, it's an even function.