The identity `(sin theta + tan theta)/(1 + cos theta) = tan theta` has to be verified.
`(sin theta + tan theta)/(1 + cos theta)`
=> `(sin theta + (sin theta)/(cos theta))/(1 + cos theta)`
=> `(sin theta*cos theta + sin theta)/(cos theta*(1 + cos theta))`
=> `(sin theta(1 + cos theta))/(cos theta*(1 + cos theta))`
=> `(sin theta)/(cos theta)`
=> `tan theta`
This proves: `(sin theta + tan theta)/(1 + cos theta) = tan theta`
See eNotes Ad-Free
Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.
Already a member? Log in here.