Tangent line, trig graphs, and unit circle

pi/6

sqrt(3)/2, 1/2

pi/4

sqrt(2)/2, sqrt(2)/2

pi/3

1/2, sqrt(3)/2

2pi/3

-1/2, sqrt(3)/2

3pi/4

-sqrt(2)/2, sqrt(2)/2

5pi/6

-sqrt(3)/2, 1/2

7pi/6

-sqrt(3)/2, -1/2

5pi/4

-sqrt(2)/2, -sqrt(2)/2

4pi/3

-1/2, -sqrt(3)/2

5pi/3

1/2, -sqrt(3)/2

7pi/4

sqrt(2)/2, -sqrt(2)/2

11pi/6

sqrt(3)/2, -1/2

Slope of Tangent Line without h

lim_x→a(f(x)-f(a))/(x-a)

Slope of Tangent Line with h

lim_h→0(f(a+h)-f(a))/(h)

sin(x)

cos(x)

tan(x)

sec(x)

csc(x)

cot(x)