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CBSE Class 10 Answered

pls prove
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Asked by gpnkumar0 | 26 Mar, 2018, 10:09: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight L. straight H. straight S. equals fraction numerator cos squared space straight theta over denominator 1 plus tan squared space straight theta end fraction plus fraction numerator cot squared space straight theta over denominator left parenthesis 1 plus cot squared space straight theta right parenthesis squared end fraction plus sin squared space straight theta
equals fraction numerator cos squared space straight theta over denominator sec squared space straight theta end fraction plus fraction numerator cot squared space straight theta over denominator left parenthesis cosec squared space straight theta right parenthesis squared end fraction plus sin squared space straight theta
equals cos to the power of 4 space straight theta plus fraction numerator cot squared space straight theta over denominator cosec to the power of 4 space straight theta end fraction plus sin squared space straight theta
equals cos to the power of 4 space straight theta plus fraction numerator begin display style fraction numerator cos squared space straight theta over denominator sin squared space straight theta end fraction end style over denominator begin display style fraction numerator 1 over denominator sin to the power of 4 space straight theta end fraction end style end fraction plus sin squared space straight theta
equals cos to the power of 4 space straight theta plus cos squared space straight theta space cross times sin squared space straight theta plus sin squared space straight theta
equals cos squared space straight theta space left parenthesis cos squared space straight theta plus sin squared space straight theta right parenthesis plus sin squared space straight theta
equals cos squared space straight theta plus sin squared space straight theta
equals 1 end style
Answered by Rashmi Khot | 27 Mar, 2018, 09:02: AM

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