If $$y=$$$$sin$$⁡$$3$$θ$$sin$$⁡θ,θ≠nπ then

Correct option is 4y∈[−1,3)

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If $y = \frac{\sin 3 θ}{\sin θ}, θ \neq n π$ then

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y∈[−1,3]

y∈(−∞,−1]

y∈(3,∞)

y∈[−1,3)

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detailed solution

Correct option is D

We have,y=sin⁡3θsin⁡θ⇒y=3−4sin2⁡θ⇒sin2⁡θ=3−y4Now,0

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If y=sin⁡3θsin⁡θ,θ≠nπ then

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If $y = \frac{\sin 3 θ}{\sin θ}, θ \neq n π$ then