JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy

1 of 1

Application +4 | -1

The general value of

\theta

which satisfies the equation

(\cos \theta+i \sin \theta)(\cos 3 \theta+i \sin 3 \theta) \ldots

\{\cos (2 r-1) \theta+i \sin (2 r-1) \theta\}=1

View answer and explanation

Correct option: D

\frac{2 n \pi}{r^2}

Option D (

\frac{2 n \pi}{r^2}

) is correct because simplifying the given expression using De Moivre's theorem leads to the general solution

\theta = \frac{2n\pi}{r^2}

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