About the Project
4 Elementary FunctionsTrigonometric Functions

§4.17 Special Values and Limits

Table 4.17.1: Trigonometric functions: values at multiples of 112π.
θ sinθ cosθ tanθ cscθ secθ cotθ
0 0 1 0 1
π/12 142(31) 142(3+1) 23 2(3+1) 2(31) 2+3
π/6 12 123 133 2 233 3
π/4 122 122 1 2 2 1
π/3 123 12 3 233 2 133
5π/12 142(3+1) 142(31) 2+3 2(31) 2(3+1) 23
π/2 1 0 1 0
7π/12 142(3+1) 142(31) (2+3) 2(31) 2(3+1) (23)
2π/3 123 12 3 233 2 133
3π/4 122 122 1 2 2 1
5π/6 12 123 133 2 233 3
11π/12 142(31) 142(3+1) (23) 2(3+1) 2(31) (2+3)
π 0 1 0 1
4.17.1 limz0sinzz =1,
4.17.2 limz0tanzz =1.
4.17.3 limz01coszz2 =12.