The expression `(tanA)/(1-cota)+(cosA)/(1-tanA)` can be written asA. ` – InterviewSolution

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1.	The expression `(tanA)/(1-cota)+(cosA)/(1-tanA)` can be written asA. `sinA cos A+1`B. `sec A coses A+1`C. `tanA+cot A`D. `sec A+cosec A`
Answer» Correct Answer - B `(tanA)/(1-cotA)+(cotA)/(1-tanA)` `=(sin^(2)A)/(cos A(sinA-cosA))+(cos^(2)A)/(sinA(cosA-sinA))` `=(sin^(3)A-cos^(3)A)/(sinA cos A (sinA-cosA))` `=(1+sinA cosA)/(sinA cosA(sinA-cosA))` `=(1+sinAcosA)/(sinA cos A)=sec A cosec A+1`

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