Math Trig ratios
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90 Terms
sinθ
y/r
cosθ
x/r
tanθ
y/x
cscθ
r/y
secθ
r/x
cotθ
x/y
sinθ (+)
I and II
sinθ (-)
III and IV
cosθ (+)
I and IV
cosθ (-)
II and III
tanθ (+)
I and III
tanθ (-)
II and IV
sinθ (0)
0
sinθ (90)
1
sinθ (180)
0
sinθ (270)
-1
sinθ (360)
0
sinθ (-360)
0
sinθ (-270)
1
sinθ (-180)
0
sinθ (-90)
-1
sinθ (2π)
0
sinθ (3π/2)
-1
sinθ (π)
0
sinθ (π/2)
1
sinθ (-2π)
0
sinθ (-3π/2)
1
sinθ (-π)
0
sinθ (-π/2)
-1
cosθ (0)
1
cosθ (90)
0
cosθ (180)
-1
cosθ (270)
0
cosθ (360)
1
cosθ (-90)
0
cosθ (-180)
-1
cosθ (-270)
0
cosθ (-360)
1
cosθ (π/2)
0
cosθ (π)
-1
cosθ (3π/2)
0
cosθ (2π)
1
cosθ (-π/2)
0
cosθ (-π)
-1
cosθ (-3π/2)
0
cosθ (-2π)
1
tanθ (0)
0
tanθ (360)
0
tanθ (-360)
0
tanθ (2π)
0
tanθ (-2π)
0
tanθ (π/2)
undefined
tanθ (-π/2)
undefined
tanθ (90)
undefined
tanθ (-90)
undefined
tanθ (π)
0
tanθ (-π)
0
tanθ (180)
0
tanθ (-180)
0
tanθ (3π/2)
undefined
tanθ (-3π/2)
undefined
tanθ (270)
undefined
tanθ (270)
undefined
cscθ (+)
I and II
secθ (+)
I and IV
cotθ (+)
I and III
cotθ (-)
II and IV
cscθ (-)
III and IV
secθ (-)
II and III
sin 30
1/2
sin 45
root2/2
sin 60
root3/2
csc 0
undefined
csc 30
2
csc 45
root2
csc 60
2 root3/3
cos 30
root3/2
cos 45
root2/2
cos 60
1/2
sec 0
1
sec 30
2 root3/3
sec 45
root2
sec 60
2
tan 30
root3/3
tan 45
1
tan 60
root3
cot 0
undefined
cot 30
root3
cot 45
1
cot 60
root3/3