Find the real part of `e^e^(itheta)dot`

Find the real part of (1-i)^(-i)

Find the real part of cos(1+iota)

Real part of (e^(e))^(iota theta) is

Find the real part of (1-i)/(1+i) .

Find the value of e^x + e^(-x)

If the imaginery part of (z-3)/(e^(itheta))+(e^(itheta))/(z-3) is zero, then z can lie on

Find the general solution of the differential equations (e^(x)+e^(-x))dy-(e^(x)-e^(-x))dx=0

Find number of real roots of equation e^(4x) + e^(3x) - 4e^(2x) + e^(x) + 1 = 0 is

Statement-1 : If e^(itheta)=cos theta +isintheta and the value of e^(iA).e^(iB).e^(iC) is equal to -1, where A,B,C are the angles of a triangle. and Statement -2 : In any triangleABC , A + B +C = 180^(@)

Find the number of real solutions of the equation sin^(-1)(e^(x))+cos^(-1)(x^(2))=pi//2 .