(cosec A - sin A) ( sec A - cos A ) ( tan A+ cot A ) = 1

Asked by pratyakshajha.12 | 14th May, 2015, 08:49: PM

Expert Answer:

C o n s i d e r space t h e space g i v e n space e x p r e s s i o n comma open parentheses cos e c A minus sin A close parentheses open parentheses s e c A minus cos A close parentheses open parentheses tan A plus c o t A close parentheses equals open parentheses fraction numerator 1 over denominator sin A end fraction minus sin A close parentheses open parentheses fraction numerator 1 over denominator cos A end fraction minus cos A close parentheses open parentheses fraction numerator sin A over denominator cos A end fraction plus fraction numerator cos A over denominator sin A end fraction close parentheses equals open parentheses fraction numerator 1 minus sin squared A over denominator sin A end fraction close parentheses open parentheses fraction numerator 1 minus cos squared A over denominator cos A end fraction close parentheses open parentheses fraction numerator sin squared A plus cos squared A over denominator cos A sin A end fraction close parentheses equals open parentheses fraction numerator cos squared A over denominator sin A end fraction close parentheses open parentheses fraction numerator sin squared A over denominator cos A end fraction close parentheses open parentheses fraction numerator 1 over denominator cos A sin A end fraction close parentheses equals open parentheses fraction numerator cos squared A cross times sin squared A over denominator cos squared A sin squared A end fraction close parentheses equals 1

Answered by Vimala Ramamurthy | 15th May, 2015, 08:56: AM