The Student Room Group

Trigonometric identities

Prove the following identity:
(1-cosx) / (1+cosx)= tan^2(x/2)

Thanks in advance :smile:
(edited 7 years ago)
Reply 1
Know any double angle formulae for cosine to get rid of the +1 and -1 in the numerator and denominator?
Reply 2
yes, but i don't understand how they fit in this identity
Reply 3
Original post by Stanspam
yes, but i don't understand how they fit in this identity


cosx2cos2(x/2)112sin2(x/2) \cos x \equiv 2\cos^2 (x/2)-1\equiv 1-2\sin^2 (x/2) .
Use each one of these identities on numerator or denominator to get rid of the constants.
Reply 4
Got it! Thank you so much :biggrin:

Quick Reply

Latest