using euler's formula prove the followingcos z = 0 if and only if z = pi/2 pi k, where k is an integer,

a. Prove using Euler's formula that cos z = 0 if and only if z = pi/2 + 2pi(kpi), where k is an integer.
b. Show using Euler's equation that cos z equals zero only when z is equal to pi/2 plus 2pi times an integer k.
c. Demonstrate with Euler's formula that the value of cos z is zero if and only if z is equal to pi/2 plus 2pi times k, where k is an integer.
d. Use Euler's formula to verify that cos z is equal to 0 if and only if z is equal to pi/2 plus 2pi times an integer k.