simplifying (1+cotθ)/(sinθ + cosθ)

[jmyonemura]

The instructions say, "Express each of the following expressions in simplest form and in terms of only sin x or cos x. Show your work."
I've worked through it and have ended up with (sinθ + cosθ)/(sin²θ + (sinθ * cosθ)). What do I do next? I feel stuck.

 

[tkhunny]

The third expression, the one at the top, on the right, do something different from there. Don't use the distributive property in the denominator.

 

[Harry_the_cat]

You might see it better if you put the numerator, in the top right expression, in brackets.

 

[Steven G]

You should never distribute in problems like this because then you might not see common factors.