Express the following in the form r(cos 0 + i sin 0), - < 0 ≤ π: (1 - i)(√3+ i) (1 + i)(√3-i)

2 sin(æ) – (-v3) = List all solutions in [0, 27):

Show that the function f(x)= x^3 − 15 cos(pi x) + 1 has three zeros in the interval [−4, 4]. Donot solve for the zeros

Find the number of pairs (m, n) of positive integers with 1 < m < n < 30 such that there exists a real number x satisfying sin(mx) + sin(nx) = 2.