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! cos-sin8+127, Drove i = cosech +cotनल c0s8-+sin6-1) |
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Answer» LHS = (cos∅ - sin∅ + 1)/(cos∅ + sin∅-1) dividing sin∅ both Numerator and denominator. = (cos∅/sin∅ - sin∅/sin∅ + 1/sin∅)/(cos∅/sin∅ + sin∅/sin∅ - 1/sin∅)= (cot∅ - 1 + cosec∅)/(cot∅ + 1 - cosec∅) now, put 1 = cosec²∅ - cot²∅ in numerator = {cot∅ + cosec∅ - (cosec²∅-cot²∅)}/(cot∅-cosec∅ +1)= (cosec∅+cot∅)(1 - cosec∅ + cot∅)/(cot∅-cosec∅+1)= cosec∅ + cot∅ = RHS Hence proved |
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