
Reduction formulas :
f (k * 90° +/- a ) = +/-g(a), k = 1,2,3,4
Where f and g are the names of trigonometric functions.
1. When k=1 or k=3, then g is the cofunction of function f (cofunction of sine is cosine and cofunction of tangent is cotangent, and vice versa). When k=2 or k=4 than g=f.
2. The sign, + or -, in front of function g is the same as is taken by function f in the appropriate quadrant.
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Quarter OXY |
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|---|---|---|---|---|---|---|---|
Function |
|
|
|
|
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|
|
sin (*) |
cos a |
cos a |
sin a |
-sin a |
-cos a |
-cos a |
-sin a |
cos (*) |
sin a |
-sin a |
-cos a |
-cos a |
-sin a |
sin a |
cos a |
tan (*) |
cot a |
-cot a |
-tan a |
tan a |
cot a |
-cot a |
-tan a |
cot (*) |
tan a |
-tan a |
-cot a |
cot a |
tan a |
-tan a |
-cot a |