Home
Class 12
MATHS
Solve ( sin x + "i" cos x )/( 1 +i),i =...

Solve `( sin x + "i" cos x )/( 1 +i),i =sqrt(-1)` when it is purely imaginary .

Text Solution

Verified by Experts

The correct Answer is:
`x = n pi - (pi)/(4)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the least positive integral value of n, for which ((1-i)/(1+i))^n , where i=sqrt(-1), is purely imaginary with positive imaginary part.

Find the real number x if (x-2i)(1+i) is purely imaginary.

If the complex number (1-i sin theta)/(1+2 i sin theta) is purely imaginary, then the principal value of theta is

The smallest positive integral value of n such that [(1+"sin"pi/8+i"cos"(pi)/8)/(1+"sin"(pi)/8-i"cos"(pi)/8)]^(n) is purely imaginary is n=

The smallest positive integral value of ' n ' such that [(1+sin (pi)/(8)+i cos (pi)/(8))(1+sin (pi)/(8)-i cos (pi)/(8))]^(n) is purely imaginary is

The smallest positive integer n for which (1+i)^(n) is purely imaginary is

Solve the equation sqrt3cos x + sin x = sqrt2 .

(3+2 i sin theta)/(1-2 i sin theta) will be purely imaginary, if theta is equal to

If x+i y=(-1+i sqrt(3))^(2010) , then x=

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