Question

How do you simplify the expression `sinthetasectheta`?

Answer 1

`sin theta sec theta = sin theta (1/cos theta) = sin theta/cos theta = tan theta`

Answer 2

`tantheta`

Explanation:

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

`•color(white)(x)sectheta=1/costheta" and "tantheta=sintheta/costheta`

`rArrsinthetasectheta=sinthetaxx1/costheta=sintheta/costheta=tantheta`