Sin(x)
1/csc(x)
Cos(x)
1/sec(x)
tan(x)
1/cot or sin(x)/cos(x)
csc(x)
1/sin(x)
sec(x)
1/cos(x)
cot(x)
1/tan(x) or cos(x)/sin(x)
Sin^2(x)+cos^2(x)
1
sec^2(x)
1+tan^2(x)
csc^2(x)
1+cot^2(x)
Sin(2x)
2sin(x)cos(x)
Cos(2x)
cos^2(x)-sin^2(x)
or
2cos^2(x)-1
or
1-2sin^2(x)
tan(2x)
2tan(x)/1-tan^2(x)
0 (position in the circle)
(1,0)
π/6
(√3/2, 1/2)
π/4
(√2/2, √2/2)
π/3
(1/2, √3/2)
π/2
(0,1)
Derivative of sin(x)
cos(x)
Derivative of cos(x)
-sin(x)
Derivative of tan(x)
sec^2(x)
Derivative of cot(x)
-csc^2(x)
Derivative of sec(x)
sec(x)tan(x)
Derivative of csc(x)
-csc(x)cot(x)
Derivative of position (s(t))
Velocity (v(t))