I Requirements In this lab, you are required to use Taylor series approximation to compute cos and sin functions and produce the output as seen in figure 2 on page 4.

Figure 1: Program Output

1. Open a text editor, and create Lab2.java Listing 1: Lab Startup Code

2. Write the code of computeCos() method using Taylor series approximation (see equation 1), (10 marks)

Write the code of computeSin() method using Taylor series approximation (see equation 2), (10 marks) 3. Following Java coding style with appropriate comments to describe your code (10 marks)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 cos(x)=k=0(2k)!(1)kx2k=12x2+24x4 sin(x)=k=0(1+2k)!(1)kx1+2k=x6x3+120x5