TRIGONOM ETR IC IOENTITI ES
RECIPRO CAL IDEl\TJTIES
cotx = -l cosx
t.an- =--
x s1nx
I
CKX =
""'
secx =-
PYTHAGOR F.AN I OENTITIES
l sin:x + cosix • t l
$1:'12 .r = I -cos2x
cos=x •l-s5n: x
1 + ran= x = se-e:x
t + cotZ x =- c.S<'=x
SUM AND DIFFERENCE 10£!\"TI TIES
s!n{.t ±r) = $ n x co.s:y ±cosxs:in>'
cos{x + y) •cosx cosy t sln xsln)'
un x ± ta.ny
wi(x +r)•
t ± tin x tan r
00U 81..E ANGl.E I OENTITIES
2 tanx
Sin 2x = ?$i!l X C(l$X = 1 •
+ tan·x
eos?x = eos=x -sin:- x
=- 2cos-=,. - l
.. 1- ta.n= x
=- l - 2s!n t =- .,.
ra:1l.t = 1- tan.,.
cot:.r - l
cot 2x • 2 cotx
HAl,f·ANGl,E IOENTITIES
s.inx- =- ± / 1-cosx
2 ' 2
cos-x= ± (t + cosx
2 \ 2
tan = ± / 1-ccnx _ sinx =- 1 -<osx
2 ,1+ cosx l + cosx sin x
