Select the correct option from the given alternatives: If cos p$\theta$ = cos q$\theta$, p $\neq$ q, then ______.

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KollegeApply · Accepted Answer

If cos p$\theta$ = cos q$\theta$, p $\neq$ q, then, $\theta$ = `bb(underline((2npi)/(p +- q))` Explanation: Given, cos p$\theta$ = cos q$\theta$ cos p$\theta$ – cos q$\theta$ = 0 `2sin((p$\theta$ + q$\theta$)/2) sin((p$\theta$ - q$\theta$)/2) = 0 ...(cos C – cos D) sin((p$\theta$ + q$\theta$)/2) = 0 or sin ((p$\theta$ - q$\theta$)/2) = 0 (p$\theta$ + q$\theta$)/2 = n$\pi$ or (p$\theta$ - q$\theta$)/2 = n$\pi$ $\theta$ = (2n$\pi$)/((p + q)) or (2n$\pi$)/((p - q)) = $\theta$ $\therefore$ $\theta$ = (2n$\pi$)/(p +- q)`

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