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$If \sin x + \cos x + \tan x + cosec x + \sec x + \cot x = 7, then \sin 2 x =$

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Correct option is B

sinx+cosx+1sinxcosx+sinx+cosxsinxcosx=7⇒ sinx+cosx1+1sinxcosx=7−1sinxcosxSquaring on both sides we get⇒sin2xsin22x-44sin2x+36=0sin2x≠0⇒sin2x=22-87

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If sinx+cosx+tanx+cosecx+secx+cotx=7, then sin2x=

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Ready to Test Your Skills?

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$If \sin x + \cos x + \tan x + cosec x + \sec x + \cot x = 7, then \sin 2 x =$