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CBSE Class 12-science Answered

find dy/dx x = cos-1 1/ ( 1 + t2)1/2      y = sin-1 t/(1 + t2)1/2 explain in great detail  
Asked by haroonrashidgkp | 24 Aug, 2018, 10:50: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight x equals cos to the power of negative 1 end exponent open parentheses fraction numerator 1 over denominator square root of 1 plus straight t squared end root end fraction close parentheses straight t equals tanθ rightwards double arrow straight theta equals tan to the power of negative 1 end exponent straight t straight x equals cos to the power of negative 1 end exponent open parentheses fraction numerator 1 over denominator square root of 1 plus tan squared straight theta end root end fraction close parentheses straight x equals cos to the power of negative 1 end exponent open parentheses 1 over secθ close parentheses straight x equals cos to the power of negative 1 end exponent open parentheses cosθ close parentheses straight x equals straight theta straight x equals tan to the power of negative 1 end exponent straight t dx over dt equals fraction numerator 1 over denominator 1 plus straight t squared end fraction............. left parenthesis straight i right parenthesis straight y equals sin to the power of negative 1 end exponent open parentheses fraction numerator straight t over denominator square root of 1 plus straight t squared end root end fraction close parentheses straight t equals tanθ rightwards double arrow straight theta equals tan to the power of negative 1 end exponent straight t straight y equals sin to the power of negative 1 end exponent open parentheses fraction numerator straight t anθ over denominator square root of 1 plus tan squared straight theta end root end fraction close parentheses straight y equals sin to the power of negative 1 end exponent open parentheses fraction numerator begin display style fraction numerator sinθ over denominator cos straight theta end fraction end style over denominator secθ end fraction close parentheses straight y equals sin to the power of negative 1 end exponent open parentheses sinθ close parentheses straight y equals straight theta straight y equals tan to the power of negative 1 end exponent straight t dy over dt equals fraction numerator 1 over denominator 1 plus straight t squared end fraction............ left parenthesis ii right parenthesis From space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis dy over dx equals 1 end style
Answered by Sneha shidid | 27 Aug, 2018, 09:35: AM

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find dy/dx x = cos-1 1/ ( 1 + t2)1/2      y = sin-1 t/(1 + t2)1/2 explain in great detail  
Asked by haroonrashidgkp | 24 Aug, 2018, 10:50: PM
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