prove that

Asked by kirtigaur935 | 9th May, 2021, 12:29: PM

Expert Answer:

To find:
cosA/(1 - tanA) + sinA/(1 - cotA)
fraction numerator cosA over denominator 1 minus tanA end fraction plus fraction numerator sinA over denominator 1 minus cotA end fraction
equals fraction numerator cos squared straight A over denominator cosA minus sinA end fraction plus fraction numerator sin squared straight A over denominator sinA minus cosA end fraction
equals fraction numerator cos squared straight A over denominator cosA minus sinA end fraction minus fraction numerator sin squared straight A over denominator cosA minus sinA end fraction
equals fraction numerator cos squared straight A minus sin squared straight A over denominator cosA minus sinA end fraction
equals fraction numerator open parentheses cosA minus sinA close parentheses open parentheses cosA plus sinA close parentheses over denominator cosA minus sinA end fraction
equals sinA plus cosA

Answered by Renu Varma | 9th May, 2021, 06:50: PM