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Cheat sheet for trigonometric identities
Typology: Cheat Sheet
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Formulas to Remember
These are special angles in standard position with the indicated terminal sides.
Here is a summary table of special angles with their degree to radian
conversion:
Degree Radian Degree Radian
The figure below shows some special angles in standard position with the
indicated terminal sides. The degree and radian measures are also given.
Here is a table summary of special angles with its corresponding coordinates:
Degree Coordinates sin ๐ฝ cos ๐ฝ tan ๐ฝ csc ๐ฝ sec ๐ฝ cot ๐ฝ
๐ ( x , y ) y x
0 (1,0) 0 1 0 und 1 und
90 (0,1) 1 0 und 1 und 0
180 (โ 1 , 0 ) 0 โ 1 0 und โ 1 und
270 ( 0 , โ 1 ) โ 1 0 und โ 1 und 0
360 (1,0) 0 1 0 und 1 und
1. Reciprocal Identities:
sin ๐ =
csc ๐
csc ๐ =
sin ๐
cos ๐ =
sec ๐
sec ๐ =
cos ๐
tan ๐ =
cot ๐
cot ๐ =
tan ๐
2. Cofunction Identities:
sin ๐ = cos (
โ ๐) cos ๐ = sin (
sec ๐ = csc (
โ ๐) csc ๐ = sec (
tan ๐ = cot (
โ ๐) cot ๐ = tan (