Math Analysis:
(csc x - cot x)(sec x +1)

Question

Math Analysis: 
(csc x - cot x)(sec x +1)

anonymous · Answer

i did but at the back of my book it says that the answer is tan x :\

hero · Answer

Well, that just means to change everything back into sine and cosine and tangent, and then simplify

anonymous · Answer

could you do the steps for me please? :| I tried so many times and I still didn't get the answer from the back of the book..

anonymous · Answer

nvm i figured it out myself but thx for the help anyways :p

phi · Answer

I always change sec to 1/cos   csc to 1/sin   cot to cos/sin  and hope for the best!

in this case, (csc -cot) = (1/sin - cos/sin) = (1-cos)/sin
(sec+1)= (1/cos +1) = (cos+1)/cos
when you multiply them you get
(1-cos^2)/(sin cos)

you should know 1-cos^2 = sin^2
so it looks like you get sin^2/(sin cos) = sin/cos = tan

anonymous · Answer

thx but I already solved it xP
you came to late.. :p

phi · Answer

that was for anyone who wondered how to do it.  You could have posted your answer, 'cause some people might want to know how to do it.

anonymous · Answer

oh, well thx haha :) I'll remember that next time xP
Thx for your time and effort~ ^^