(B) The general solution for the equation $\cos x = \cos y$ is given by $x = 2n\pi \pm y$,where $n \in \mathbb{Z}$.Given the equation $\cos p\theta =

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$\theta = \frac{2n\pi}{p \pm q}$

(B) The general solution for the equation $\cos x = \cos y$ is given by $x = 2n\pi \pm y$,where $n \in \mathbb{Z}$.Given the equation $\cos p\theta = \cos q\theta$.Applying the general solution formula,we get $p\theta = 2n\pi \pm q\theta$.Rearranging the terms to solve for $\theta$:$p\theta \mp q\theta = 2n\pi$$(p \mp q)\theta = 2n\pi$$\theta = \frac{2n\pi}{p \pm q}$.

Class 11 Mathematics Trigonometrical Equations Solution of trigonometrical equations

Medium

If $\cos p\theta = \cos q\theta$ and $p \neq q$,then

A
$\theta = 2n\pi$
B
$\theta = \frac{2n\pi}{p \pm q}$
C
$\theta = \frac{n\pi}{p + q}$
D
None of these

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If $\cos p\theta = \cos q\theta$ and $p \neq q$,then

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