1.

If `costheta+sectheta =sqrt(3)`, then the value of `(cos^(3)theta+sec^(3)theta)` isA. `(1)/(sqrt(2))`B. 1C. 0D. `sqrt(2)`

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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