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sin(a + b)
sin(a)cos(b) + cos(a)sin(b)
sin(a - b)
sin(a)cos(b) - cos(a)sin(b)
cos(a + b)
cos(a)cos(b) - sin(a)sin(b)
cos(a - b)
cos(a)cos(b) + sin(a)sin(b)
tan(a + b)
tan(a) + tan(b)
----------------
1 - tan(a)tan(b)
tan(a - b)
tan(a) - tan(b)
----------------
1 + tan(a)tan(b)
sin(2a)
2sin(a)cos(a)
cos (2a)
2cos²(a)-1
cos (2a)
1- 2sin²(a)
cos (2a)
cos²(a) - sin²(a)
tan(2a)
2tan(a)
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1 - tan²(a)
2tan(a)
-----------
1 + tan²(a)
nothing
sin (a/2)

cos (a/2)

tan (a/2)

tan (a/2)

sin²a
1-cos2a
-------
2
cos²a
1+cos2a
-------
2
tan²a
1-cos2a
-------
1+cos2a
sec²a
1+tan²a
csc²a
1+cot²a