Questions and Answers Set 3.

1)  Write a program to print following : Check Answer.

i)

********************
**********
**********

ii)

***
***
****
*****

iii)

        *      **
    ***
  ****
*****

iv)

        *      ***
    *****
  *******
*********

v)

        1
      222
    33333
  4444444
555555555

vi)

        1
      212
    32123
  4321234
543212345

2) Write a program to compute sinx for given x. The user should supply x and a positive integer n. We compute the sine of x using the series and the computation should use all terms in the series up through the term involving xⁿ

sin x = x - x³/3! + x⁵/5! - x⁷/7! + x⁹/9! ........ Check Answer.

3) Write a program to compute the cosine of x. The user should supply x and a positive integer n. We compute the cosine of x using the series and the computation should use all terms in the series up through the term involving xⁿ

cos x = 1 - x²/2! + x⁴/4! - x⁶/6! ..... Check Answer.