Question

Simplify the expression.
sec x/tan x

Answer 1

Option b

Explanation:

We know that, by definition:

`secx = (1)/(cosx)`

We also know that:

`tanx = (sinx)/(cosx)`

Applying these identities we can simplify the given expression

`(secx)/(tanx) = ((1)/(cosx))/((sinx)/(cosx))\\\\(secx)/(tanx) = (cosx)/(sinxcosx)\\\\(secx)/(tanx) = (1)/(sinx)`

We know that, by definition:

`(1)/(sinx) = cscx`