If $y = \frac{{\sin \,\,3\theta }}{{\sin \,\,\theta }},\;\,\theta \ne n\;\pi $, then

$y \in \left[ { - \,\infty ,\; - 1} \right]$

$y \in \left( {3,\;\,\infty } \right)$

JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy

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Analyzing +4 | -1

y = \frac{{\sin \,\,3\theta }}{{\sin \,\,\theta }},\;\,\theta \ne n\;\pi

, then

View answer and explanation

Correct option: D

y \in \left[ { - 1,\,\;3} \right)

Option D (

y \in \left[ { - 1,\;3} \right)

) is correct because it represents the range of the function

y = \frac{{\sin \,3\theta }}{{\sin \,\theta }}

for

\theta \ne n\;\pi

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