trigonometry

Question: If $\sin \theta +\cos \theta =x,$ then ${{\sin }^{6}}\theta +{{\cos }^{6}}\theta =\frac{1}{4}[4-3{{({{x}^{2}}-1)}^{2}}]$ for



1) All real $x$
2) ${{x}^{2}}\le 2$
3) ${{x}^{2}}\ge 2$
4) None of these
Solution: Explanation: No Solution
Trigonometric ratios of multiple and sub-multiple angles

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