Find a numerical value of one trigonometric function of x for cos2x+ 2 sinx - 2 = 0.
a. sin x = 0
c. sin x = 1
b. tan x = 0
d. tan x= 1

What is the solution to the inequality

(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

Given: m∠ adb = m∠cdb ad ≅ dc prove: m∠ bac = m∠bca lol