I don't understand this problem:

Question

(Tanө + cos ө)/ (sec ө + cot ө)

so I start off like this:
={(sinө / cos ө)+cosө}{cos ө + (sinө/cosө)}

=[(sin ө +cos^2ө) (cos^2ө +sin ө)]/ cos ө

but what comes next?

Answer 1

my second line would have been
(sin e/cos e + cos e)/(1/cos e + cos e/sin e)
= [(sin e + cos^2 e)/cos e]/[(sin e + cos^2 e)/(sin e cos e)]
= sin e

in my last step I inverted and multiplied so the sin e + cos^2 e canceled and the cos e canceled