1 / tanx (1 + cos2x) = csc2x

I am trying to prove this and I am really not sure how to start. I know I am supposed to use half-angle identities, but I'm not sure which one.
in Trigonometry Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

cos(2x)=2cos2(x)-1; tan(x)=sin(x)/cos(x); sin(2x)=2sin(x)cos(x).

1/[tan(x)(1+cos(2x))]=cos(x)/[sin(x)(2cos2(x))=

1/(2sin(x)cos(x))=1/sin(2x)=csc(2x) QED

by Top Rated User (1.2m points)

Related questions

1 answer
1+secx/tanx+sinx
asked May 1, 2013 in Trigonometry Answers by anonymous | 791 views
1 answer
csc2x = (tanx + cotx) / 2
asked Jul 16, 2012 in Trigonometry Answers by anonymous | 999 views
1 answer
why does cosx tanx equal sinx
asked Nov 18, 2011 in Trigonometry Answers by anonymous | 3.3k views
1 answer
show that (3sinx+sin2x)/(1+cosx+cos2x)=tanx
asked Apr 17, 2013 in Trigonometry Answers by anonymous | 967 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!

Most popular questions within the last 3000 days

  1. 50+50-25X0+2+2= (19)
  2. it takes 10 road workers 5 days to complete a road repair when working 2 hours a day.Working at the same pace,how many days will it take 2 people working 5 hours a day to finish it? (3)
  3. Solve 15 -1(12÷4+1)? (4)
  4. 8:4(5+2) (3)
  5. How can i represent 1/3; 3/3; 7/3; 10/3 and 15/3 on a number line? (1)

Most popular tags

87,516 questions
100,279 answers
2,420 comments
732,215 users