pls clear the doubt, dear sir/ madam

Asked by sachitshanchinal | 2nd Sep, 2020, 02:53: PM

Expert Answer:

sin A = 5/13 and tan B = 3/4
sin2A+cos2A=1
rightwards double arrow cosA equals square root of 1 minus sin squared straight A end root equals square root of 1 minus 25 over 169 end root equals square root of 144 over 169 end root equals 12 over 13
tanA equals sinA over cosA equals fraction numerator begin display style 5 over 13 end style over denominator begin display style 12 over 13 end style end fraction equals 5 over 12
tan left parenthesis straight A minus straight B right parenthesis equals fraction numerator tanA minus tanB over denominator 1 plus tanAtanB end fraction equals fraction numerator begin display style 5 over 12 end style minus begin display style 3 over 4 end style over denominator 1 plus begin display style 5 over 12 end style cross times begin display style 3 over 4 end style end fraction equals fraction numerator begin display style fraction numerator 5 minus 9 over denominator 12 end fraction end style over denominator begin display style fraction numerator 16 plus 5 over denominator 16 end fraction end style end fraction equals fraction numerator begin display style fraction numerator negative 4 over denominator 12 end fraction end style over denominator begin display style 21 over 16 end style end fraction equals 16 over 21 cross times fraction numerator negative 1 over denominator 3 end fraction equals negative 16 over 63

Answered by Renu Varma | 4th Sep, 2020, 02:06: PM