Find the exact value of sec(5pi/ 3) and and sin(7pi/6)

(a) (8%) compute the probability of an even integer among the 100 integers 1! , 2! , 3! , until 100! (here n! is n factorial or n*(n-1)*(n-2) *… 1) (b) (16%) compute the probability of an even integer among the 100 integers: 1, 1+2, 1+2+3, 1+2+3+4, …., 1+2+3+… + 99, and 1+2+3+… + 100

Simplify the expression and find the missing terms. the simplest form of has in the numerator and in the denominator.

Is (root2 -2)^2 rational or irrational. show the steps and answer fast