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all these are in the 15.6 notes for kreuger
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tan²x+1
sec²x
1+cot²
csc²x
cos(-x)
cosx
sin(x1+x2)
sinx1cosx2+sinx2cosx1
sin(x1-x2)
sinx1cosx2-sinx2cosx1
cos(x1+x2)
cosx1cosx2-sinx1sinx2
cos(x1-x2)
cosx1cosx2+sinx1sinx2
tan(x1+x2)
(tan x1 + tan x2) / (1 - tan x1 tan x2).
tan(x1-x2)
(tan x1 - tan x2) / (1 + tan x1 tan x2)
sin2x
2sinxcosx
cos2x
cos^2 x - sin^2 x
cos2x
2cos²x-1
cos2x
1-2sin²x
tan2x
2tanx/1-tan²x
sin x/2
+-√((1-cos x)/2)
cos x/2
+-√((1+cos x)/2)
tan x/2
+−√((1−cos x)/(1+cos x))
tan x/2
sinx/1+cosx
law of cosines
a²=b²c²-2bc cosA
law of sines
sinA/a= sinB/b = sinC/c