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CBSE Class 10 Answered

Please solve this .
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Asked by agarwalaayush | 26 Feb, 2018, 06:37: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight P plus straight Q equals 90 degree
rightwards double arrow straight P equals 90 degree minus straight Q
straight L. straight H. straight S.
equals square root of fraction numerator tan space straight P space tan space straight Q plus tan space straight P space cot space straight Q over denominator sin space straight P space sec space straight Q end fraction minus fraction numerator sin squared space straight Q over denominator cos squared straight P end fraction end root
equals square root of fraction numerator tan space left parenthesis 90 degree minus straight Q right parenthesis space tan space straight Q plus tan space left parenthesis 90 degree minus straight Q right parenthesis space cot space straight Q over denominator sin space left parenthesis 90 degree minus straight Q right parenthesis space sec space straight Q end fraction minus fraction numerator sin squared space straight Q over denominator cos squared space left parenthesis 90 degree minus straight Q right parenthesis end fraction end root
equals square root of fraction numerator cot space straight Q space tan space straight Q plus cot space straight Q space cot space straight Q over denominator cos space straight Q space sec space straight Q end fraction minus fraction numerator sin squared space straight Q over denominator sin squared space straight Q end fraction end root
equals square root of fraction numerator 1 plus cot squared space straight Q over denominator 1 end fraction minus 1 end root
equals square root of 1 plus cot squared straight Q minus 1 end root
equals cot space straight Q
straight R. straight H. straight S. equals tan space straight P equals tan space left parenthesis 90 degree minus straight Q right parenthesis equals cot space straight Q
Hence comma space straight L. straight H. straight S. equals straight R. straight H. straight S.

end style
Answered by Rashmi Khot | 26 Feb, 2018, 06:47: PM

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