If cot a = 12 upon 5 then find the value of Sin A + Cos A into cosec a

1.	If cot a = 12 upon 5 then find the value of Sin A + Cos A into cosec a
Answer» Given:cot A =\xa0{tex}\\frac { 12 } { 5 }{/tex}Now, (sin A + cos A)\xa0{tex}\\times{/tex}\xa0cosec A= (sin A + cos A)\xa0{tex}\\frac { 1 } { \\sin A }{/tex}= sin A\xa0{tex}\\times \\frac { 1 } { \\sin A }{/tex}\xa0+ cos A\xa0{tex}\\times \\frac { 1 } { \\sin A }{/tex}= 1 + cot A = 1 +\xa0{tex}\\frac { 12 } { 5 } = \\frac { 17 } { 5 }{/tex}

Discussion