By definition, sin a =
Opposite side/hypotenuse of a right triangle with angle a
By definition, cos a =
Adjacent side/hypotenuse of a right triangle with angle a
By definition, tan a =
Opposite side/adjacent side of a right triangle with angle a
For a triangle with sin a = A/B, cos a =
√(B2 - A2)/B
(opposite side : hypotenuse = A : B, then by pythagoras theorem we can find adjacent : hypotenuse.)
For a triangle with cos a = A/B, sin a =
√(B2 - A2)/B
For a triangle with tan a = A/B,
sin a =; cos a =
sin a = A/√(B2 + A2)
cos a = B/√(B2 + A2)
sin0º
0
sin30º
1/2
sin45º
√2/2
sin60º
√3/2
sin90º
1
cos0º
1
cos30º
√3/2
cos45º
√2/2
cos60º
1/2
cos90º
0
tan0º
0
tan30º
√3/3
tan45º
1
tan60º
√3
tan90º
undefined