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If `costheta+sectheta =sqrt(3)`, then the value of `(cos^(3)theta+sec^(3)theta)` isA. `(1)/(sqrt(2))`B. 1C. 0D. `sqrt(2)` |
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Answer» Correct Answer - c `cos theta+sec theta=sqrt(3)` cubing both sides `cos^(3)theta+sec^(3)theta+3cos thetasec theta` `(cos theta+sec theta)=3sqrt(3)` `cos^(3)theta+sec^(3)theta+3sqrt(3)=3sqrt(3)` `cos^(3)theta+sec^(3)theta=0` |
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