" 1.If "cos(1-i)=a+ib," where "a,b in R" and "i=sqrt(-1)" ,then "

if cos (1-i) = a+ib, where a , b in R and i = sqrt(-1) , then a. a = (1)/(2)(e-(1)/(e))cos 1, b = (1)/(2)(e+(1)/(e))sin 1 b. a=(1)/(2)(e+(1)/(e))cos 1,b=(1)/(2)(e-(1)/(e))sin 1 c. a=(1)/(2)(e+(1)/(e))cos 1,b=(1)/(2)(e+(1)/(e))sin 1 d. a=(1)/(2)(e-(1)/(e))cos 1,b=(1)/(2)(e-(1)/(e))sin 1

(1+(i)/(3))^(3)=(a+bi)/(27) where a,b in R and i=sqrt(-1) ,then

Express the following in the form of a + ib, where a, b in R , i = sqrt-1 . State the value of a and b. (1 - i)^-3

Express the following in the form of a + ib, where a, b in R , i = sqrt-1 . State the value of a and b. (1 + i) (1 - i)^-1

Express the following in the form of a + ib, where a, b in R , i = sqrt-1 . State the value of a and b. (i(4 + 3i))/(i - 1)

Express the following in the form of a + ib, where a, b in R , i = sqrt-1 . State the value of a and b. (2 + i) / ((3 - i)(1 + 2i))

Express the following in the form of a + ib, where a, b in R , i = sqrt-1 . State the value of a and b. ((1 + i) / (1 - i))^2

Express the following in the form of a + ib, where a, b in R , i = sqrt-1 . State the value of a and b. (1 + 2i) (-2 + i)

Express the following in the form of a + ib, where a, b in R , i = sqrt-1 . State the value of a and b. (-sqrt(5) + 2sqrt(-4)) + (1 - (sqrt-9)) + (2 + 3i) (2 - 3i)

Express the following in the form of a + ib, where a, b in R , i = sqrt-1 . State the value of a and b. (2 + 3i) (2 - 3i)