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If $f (Î¸) = \sin â¡ Î¸ (\sin â¡ Î¸ + \sin â¡ 3 Î¸),$ then $f (Î¸)$

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â¥0 only when Î¸â¥0

â¤0 for all real Î¸

â¥0 for all real Î¸

â¤0 when only Î¸ â¤0

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detailed solution

Correct option is C

f(Î¸)=sinâ¡Î¸sinâ¡Î¸+3sinâ¡Î¸â4sin3â¡Î¸=4sin2â¡Î¸1âsin2â¡Î¸=sin2â¡2Î¸â¥0 for all real Î¸.

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If f(Î¸)=sinâ¡Î¸(sinâ¡Î¸+sinâ¡3Î¸), then f(Î¸)

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If $f (Î¸) = \sin â¡ Î¸ (\sin â¡ Î¸ + \sin â¡ 3 Î¸),$ then $f (Î¸)$