COMPLEX MATH and REAL ANALYSIS
(a) Find all the values of z ∈ C
for which sin(z)=cosh(4)
(b) Find all the values of z ∈ C for which cos z is (i) real values and (ii) purely imaginary.
(c) Let S=(x,y)∈R2∣x∈R Qandy∈Z Giving full reasons for your assertions, prove that S is uncountable.