Further Pure with Technology

Question 1

State Wilson’s theorem

Answer 1

for any prime number n:

n - 1)! = -1(mod n

Question 2

what do you need to remember for POLAR -> CARTESIAN?

Answer 2

r² = x² + y²

x= rcosΘ
y = rsinΘ

tanΘ = y/x

Question 3

what is Fermat’s Little Theorem?

Answer 3

if p is prime, then for any positive integer a:

a^p = a(mod p)

if p is not a factor of a:

a^(p-1) = 1(mod p)