Question

How do you simplify `cos x + sin x tan x`?

Answer 1

`secx`

Explanation:

`"using the "color(blue)"trigonometric identities"`

`•color(white)(x)tanx=sinx/cosx" and "secx=1/cosx`

`•color(white)(x)sin^2x+cos^2x=1`

`rArrcosx+sinx xx sinx/cosx`

`=cos^2x/cosx+sin^2x/cosx`

`=(cos^2x+sin^2x)/cosx=1/cosx=secx`