sin
y
cos
x
tan
y/x
sec
1/x
csc
1/y
coordinates 0
(1,0)
cot
x/y
coordinates pi/6
(√ 3/2, 1/2)
coordinates pi/4
(√ 2/2, √ 2/2)
coordinates pi/3
(1/2, √ 3/2)
coordinates pi/2
(0,1)
reciprocal identities: sec
1/cos
reciprocal identities: cos
1/sec
reciprocal identities: csc
1/sin
reciprocal identities: sin
1/csc
reciprocal identities: tan
1/cot
reciprocal identities: cot
1/tan
quotient identities: tan
sin/cos
quotient identities: cot
cos/sin
even identities:
cos0= cos(-0), sec0= sec(-0)
odd identities:
-sin0= sin(-0), -csc0= csc(-0),
-tan0= tan(-0), -cot0= cot(-0),
pythagorean identity og:
sin^2 + cos^2 = 1
pythagorean identity/sin:
1 + tan^2 = sec^2
pythagorean identity/cos:
cot^2 + 1 = csc^2