1.

`(tantheta)/(1-cottheta)+(cottheta)/(1-tantheta)` is equal toA. `1-tantheta-cottheta`B. `1+tantheta-cottheta`C. `1-tantheta-cottheta`D. `1+tantheta+cottheta`

Answer» Correct Answer - d
`(tantheta)/(1-cottheta) +(cottheta)/(1-tantheta)`
`rArr(tan theta)/(1-(1)/(tantheta))+((1)/(tan))/(1-tantheta)`
`rArr(tan^(2)theta)/(tantheta-1)+(1)/(tantheta(1-tantheta))`
`rArr (tan^(2)theta-1)/(tantheta(tantheta-1))`
`rArr((tantheta-1)(tan^(2)theta+tantheta+1))/(tantheta(tantheta-1))`
`rArr(tan^(2)theta+tantheta+1)/(tan theta)`
`rArrtan theta+cot theta+1`


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