I need to 'prove' that \(\displaystyle{\left({1}+{\cot{{\left({x}\right)}}}\right)}^{{2}}-{2}{\cot{{\left({x}\right)}}}={\frac{{{1}}}{{{\left({1}-{\cos{{\left({x}\right)}}}\right)}{\left({1}+{\cos{{\left({x}\right)}}}\right)}}}}\)

Bryanna Leon

Bryanna Leon

Answered question

2022-04-07

I need to 'prove' that
(1+cot(x))22cot(x)=1(1cos(x))(1+cos(x))

Answer & Explanation

akorda5cc2

akorda5cc2

Beginner2022-04-08Added 6 answers

(1+cotx)22cotx=1(1cosx)(1+cosx)
1+2cotx+cot2x2cotx=11cosx+cosxcos2x
1+(cosxsinx)2=11cos2x
sin2x+cos2xsin2x=1sin2x
1sin2x=1sin2x

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?