If theta is the fundamental period of t...

If `theta` is the fundamental period of the function `f(x) = sin^99 x+sin^99(x+(2pi)/3)+sin^99(x+(4pi)/3)` , then the complex number `z=|z|(cos theta+i sintheta)` lies in the quadrant number.

AI Generated Solution

Similar Questions

Explore conceptually related problems

The period of the function f(x)=|sin 3x|+| cos 3x| , is

Period of the function f(x) = sin((pi x)/(2)) cos((pi x)/(2)) is

Find the fundamental period of the following function: f(x)=sin 3x+cos^(2)x+|tanx|

The period of the function f(x)=sin((2x+3)/(6pi)) , is

If f(x)=sin^(2)x+sin^(2)(x+(2pi)/(3))+sin^(2)(x+(4pi)/(3)) then :

What is the fundamental period of f(x) = (sin x+ sin 3x)/(cos x+ cos 3x)

Find the fundamental period of the following function: f(x)="cos"3/5 x-"sin"2/7x .

The period of the function f(x)=c^((sin^2x) +sin^2 (x+pi/3)+cosxcos(x+pi/3)) is (where c is constant)

The period of the function f(x)=4sin^4((4x-3pi)/(6pi^2))+2cos((4x-3pi)/(3pi^2)) is