InterviewSolution
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If `sec theta+tan theta= sqrt3(0^(@)le theta le 90^(@))` then the value of `tan^(3)theta=?`(यदि `sec theta+tan theta= sqrt3(0^(@)le theta le 90^(@))` है तो)A. undefinedB. `(1)/(sqrt3)`C. `(1)/(sqrt2)`D. `sqrt3` |
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Answer» Correct Answer - a `sec theta+tan theta=sqrt(3)`.........(i) `rArrsec^(2)theta-tan^(2)theta=1` `[1+tan^(2)theta=sec^(2)theta]` `rArr(sec theta-tantheta)(sec theta+tan theta)=1` `rArr(sec theta-tan theta)(sec theta+tan theta)=1` `rArr sectheta-tan theta=(1)/sqrt(3)` ..........(ii) subtract equation (ii) from (i) `rArr 2tan theta=sqrt(3)-(1)/sqrt(3)` `rArr 2tan theta=(3-1)/sqrt(3)=(2) /sqrt(3)` `rArrtan theta=(1)/sqrt(3)=tan 30^(@)` `rArr theta=30^(@)[tan30^(@)=(1)/sqrt(3)]` `rArr tanA^(3)theta =tan90^(@)` (underfined) |
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