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CBSE Class 11-commerce Answered

Question no. 24
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Asked by Payal | 22 Feb, 2018, 10:05: AM
answered-by-expert Expert Answer
begin mathsize 16px style open parentheses fraction numerator cosA plus cosB over denominator sinA minus sinB end fraction close parentheses to the power of straight n plus open parentheses fraction numerator sinA plus sinB over denominator cosA minus cosB end fraction close parentheses to the power of straight n equals open parentheses fraction numerator 2 cos open parentheses begin display style fraction numerator straight A plus straight B over denominator 2 end fraction end style close parentheses cos open parentheses fraction numerator straight A minus straight B over denominator 2 end fraction close parentheses over denominator 2 cos open parentheses fraction numerator straight A plus straight B over denominator 2 end fraction close parentheses sin open parentheses fraction numerator straight A minus straight B over denominator 2 end fraction close parentheses end fraction close parentheses to the power of straight n plus open parentheses fraction numerator 2 sin open parentheses fraction numerator straight A plus straight B over denominator 2 end fraction close parentheses cos open parentheses fraction numerator straight A minus straight B over denominator 2 end fraction close parentheses over denominator negative 2 sin open parentheses fraction numerator straight A plus straight B over denominator 2 end fraction close parentheses sin open parentheses fraction numerator straight A minus straight B over denominator 2 end fraction close parentheses end fraction close parentheses to the power of straight n equals cot to the power of straight n open parentheses fraction numerator straight A minus straight B over denominator 2 end fraction close parentheses plus left parenthesis negative 1 right parenthesis to the power of straight n cot to the power of straight n open parentheses fraction numerator straight A minus straight B over denominator 2 end fraction close parentheses Take space cases space straight n space is space odd space and space even. For space even space straight n space cot to the power of straight n open parentheses fraction numerator straight A minus straight B over denominator 2 end fraction close parentheses for space odd space straight n space it space is space zero. end style
Answered by Sneha shidid | 22 Feb, 2018, 12:33: PM

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