What is the real part of `(sin x +icos x)^3` where `i=sqrt(-1)?`

What is the real part of (sin x+i cos x)^(3) where i=sqrt(-1)?

The real part of e^((3+4i)x) is

The real part of (1-i)^(-i), where i=sqrt(-1) is

What is the argument of (1-sintheta)+icos theta ? (i=sqrt(-1))

g(x)=asqrt(41-x^(2)) Function g is defined by the equation above where a is a nonzero real constant. If g(2i)=sqrt(5) , where i=sqrt(-1) , what is the value of a?

All real numbers x which satisfy the inequality |1+4i-2^(-x)|<=5 where i=sqrt(-1)x in r are

Let f(x) = x^4 + ax^3 + bx^2 + cx + d be a polynomial with real coefficients and real roots. If |f(i)|=1where i=sqrt(-1), then the value of a +b+c+d is

Let f(x) = x^4 + ax^3 + bx^2 + cx + d be a polynomial with real coefficients and real roots. If |f(i)|=1where i=sqrt(-1) , then the value of a +b+c+d is