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Sin(u/2)
Ā±ā[(1 - cos(u))/2]
Sin(2u)
2sin(u)cos(u)
Sin(a+b)
sin(a)cos(b) + cos(a)sin(b).
sin(a-b)
sin(a)cos(b) - cos(a)sin(b)
Cos(u/2)
Ā±ā[(1 + cos(u))/2]
cos(2u)
cosĀ²(u) - sinĀ²(u)
cos(2u)
1-2sinĀ²u
cos(2u)
2cosĀ²u-1
cos(a+b)
cos(a)cos(b) - sin(a)sin(b)
cos(a-b)
cos(a)cos(b) + sin(a)sin(b)
tan(u/2)
Ā±ā[(1 - cos(u))/(1+cos(u)]
tan(2u)
[(2tan(u))/1-tanĀ²u)]
tan(a+b)
(tan a + tan b) / (1 - tan a * tan b)
tan(a-b)
(tan a - tan b) / (1 + tan a * tan b)
Pythagorean identities
sinĀ²x+cosĀ²x=1
1+tanĀ²x=secĀ²
1+cotĀ²x=cscĀ²
Reciprocal Identities
1/sin=csc
1/cos=sec
1/tan=cot
1/csc=sin
1/sec=cos
1/cot=tan