cotx=
(quotient identity)
x
x
sin
cos
Answer
sinxcosx=
x2sin2
1
Answer
tan(x/2)=
(half angle identity)
2tan1
2tan2
2 x
x
Answer
tan(x+y)=
(sum identity)
yx
yx
tantan1
tantan
Answer
sin(x+y)=
(sum identity)
=sinxcosy+sinycosx
Answer
cos(2x)=
(double angle identity)
=cos2x-sin2x (main-others are found using Pythagorean Identities)
=2cos2x-1=1-2sin2x
Answer
sin(x/2)=
(half angle identity)
2cos
2sin2
xx
Answer
sinx=
(reciprocal identity)
xcsc
1
Answer
cot2x=
(Pythagorean identity)
=csc2x-1
Answer
tanx=
(reciprocal identity)
xcot
1
Answer
cos(x+y)=
(sum identity)
=cosxcosy-sinxsiny
Answer
sin(x-y)=
(difference identity)
=sinxcosy-sinycosx
Answer
sin2x=
(Pythagorean identity)
=1-cos2x
Answer
cos(x/2)=
(half angle identity)
2sin21
12
cos2
2sin
2cos
2
2
22
x
x
xx
Answer
tanx=
(quotient identity)
x
x
cos
sin
Answer
tan2x+1=
(Pythagorean identity)
=sec2x
Answer
tan(2a)=
(double angle identity)
x
x2tan1
tan2
Answer
cos(x-y)=
(difference identity)
=cosxcosy+sinxsiny
Answer
sin(2x)=
(double angle identity)
=2sinxcosx
Answer
tan(x-y)=
(difference identity)
yx
yx
tantan1
tantan
Answer
cosx=
(reciprocal identity)
xsec
1
Answer
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