The value of $6({\sin ^6}{\rm{\theta }} + {\cos ^6}{\rm{\theta }}) - 9{\rm{\;}}({\sin ^4}{\rm{\theta }} + {\cos ^4}{\rm{\theta }}) + 4{\rm{\;}}$ is

JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1

The value of

6({\sin ^6}\mathrm{\theta } + {\cos ^6}\mathrm{\theta }) - 9\mathrm{\;}({\sin ^4}\mathrm{\theta } + {\cos ^4}\mathrm{\theta }) + 4\mathrm{\;}

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Correct option: C

Option C (1) is correct because the expression simplifies to 1 using trigonometric identities.

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C

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