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InterviewSolution
| 1. |
(1+cot+tan)(sin-cos) |
| Answer» LHS = (1 + cot A + tan A)(sin A - cos A)= sin A - cos A + cot A sin A - cot A cos A + tan A sin A - tan A cos A=sin A - cos A +\xa0{tex}\\frac{cos A}{sin A}{/tex}\xa0{tex}\\times{/tex}\xa0sin A - cot A cos A + tan A sin A -\xa0{tex}\\frac{sin A}{cos A}{/tex}\xa0{tex}\\times{/tex}\xa0cos A=sin A - cos A + cos A - cot A cos A + tan A sin A - sin A=sin A tan A - cot A cos A=RHS. | |