Question

Which of the following are equal to sec x? Choose all that apply. 3 answers

Answer 1

B, D, E.

Explanation:

B:
`(1)/(cos(x))`

D:
`(tan(x))/(sin(x))`

E:
`tan(x) csc (x)`

Answer 2

Verify each option

A ---> 1/sinx=cscx -----> is not the answer

B ---> 1/cosx=secx ----> is the answer

C ---> cosx/tanx=cosx/(sinx/cosx)=cos^2x/sinx -----> is not the answer

D ---> tanx/sinx=(sinx/cosx)/sinx=1/cosx=secx -----> is the answer

E ---> cotxsinx=(cos/sinx)sinx=cosx ----> is not the answer

F ----> tanxcscx=(sinx/cosx)(1/sinx)=1/cosx=secx ----> is the answer

therefore

The answer is

options B, D and F