Home
Class 12
MATHS
Real part of (e^e)^(iotatheta) is...

Real part of `(e^e)^(iotatheta)` is

Text Solution

AI Generated Solution

To find the real part of \( (e^e)^{i \theta} \), we can follow these steps: ### Step 1: Define the expression Let \( Z = (e^e)^{i \theta} \). ### Step 2: Rewrite using exponential properties Using the property of exponents, we can rewrite \( Z \): \[ ...
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    CENGAGE ENGLISH|Exercise EXERCISE3.6|10 Videos

  • COMPLEX NUMBERS

    CENGAGE ENGLISH|Exercise EXERCISE3.7|6 Videos

  • COMPLEX NUMBERS

    CENGAGE ENGLISH|Exercise EXERCISE3.4|7 Videos

  • CIRCLES

    CENGAGE ENGLISH|Exercise Comprehension Type|8 Videos

  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|101 Videos

Similar Questions

Explore conceptually related problems

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

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

Between any two real roots of the equation e^(x)sinx-1=0 the equation e^(x)cosx+1=0 has

lim_(x->0) {(1+x)^(2/x)} (where {.} denotes the fractional part of x (a) e^2−7 (b) e^2−8 (c) e^2−6 (d) none of these

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

Statement-1: The equation (pi^(e))/(x-e)+(e^(pi))/(x-pi)+(pi^(pi)+e^(e))/(x-pi-e) = 0 has real roots. Statement-2: If f(x) is a polynomial and a, b are two real numbers such that f(a) f(b) lt 0 , then f(x) = 0 has an odd number of real roots between a and b.

In the electric circuit shown in Fig., label the parts A, B, C, D, E, and E State the function of each part. Show in the diagram the direction of flow of current.

The number of real root of the equation e^(x-1)+x-2=0 , is

Number of real roots of the equation e^(x-1)-x=0 is

If A+B+C=pi and e^(itheta)=costheta+isintheta and z=|[e^(2iA), e^(-iC), e^(-iB)] , [e^(-iC), e^(2iB), e^(-iA)], [e^(-iB), e^(-iA), e^(2iC)]| , then