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If $15 \sin^{4} x + 10 \cos^{4} x = 6$ , then $\tan^{2} x =$

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Correct option is C

We have 15sin4x+10cos4x=6sin2x+cos2x2⇒9sin4x+4cos2x−12sin2xcos2x=0⇒3sin2x−2cos2x2=0⇒tan2x=2/3

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If 15sin4x+10cos4x=6 , then tan2x=

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Ready to Test Your Skills?

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If $15 \sin^{4} x + 10 \cos^{4} x = 6$ , then $\tan^{2} x =$