Question

Can someone help me answer question C, and include the steps to solve please?

Answer 1

see steps below

Explanation:

`(1+tan\theta)/(1+cot\theta)`

`=(1+tan\theta)/(1+(1)/(tan\theta) )`

`=(1+tan\theta)/((tan\theta)/(tan\theta) +(1)/(tan\theta) )`

`=(1+tan\theta)/((tan\theta+1)/(tan\theta) )`

`=(tan\theta(1+tan\theta))/(tan\theta+1)`

`=tan\theta`

`=tan\theta*(1-tan\theta)/(1-tan\theta)`

`=(1-tan\theta)/(1-tan\theta) /(1)/(tan\theta)`

`=(1-tan\theta)/((1-tan\theta)/(tan\theta) )`

`=(1-tan\theta)/((1)/(tan\theta) -(tan\theta)/(tan\theta) )`

`=(1-tan\theta)/(cot\theta-1)`

Proven